What is the LCM of 195 and 351 - Find out answer step by step

Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 195 and 351, is defined as the smallest positive integer that is divisible by both. It is written as LCM(195, 351).

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 195 and 351 is 1755, where 195 and 351 are less than 1755.
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(195, 351) = LCM(351, 195).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 195 and 351 by Listing Method

Find some first multiples of 195 and 351.
Find the least common multiple, and read off the answer!

Example: Find lcm of 195 and 351 by Listing Method

Multiples of 195: 195, 390, 585, 780, 975, 1170, 1365, 1560, 1755, 1950, 2145, 2340, 2535, 2730, 2925, 3120, 3315, 3510, 3705, 3900, 4095, 4290, 4485, 4680, 4875, 5070, 5265, 5460, 5655, 5850, 6045, 6240, 6435, 6630, 6825, 7020, 7215, 7410, 7605, 7800, 7995, 8190, 8385, 8580, 8775, 8970, 9165, 9360, 9555, 9750, 9945, 10140, 10335, 10530, 10725, 10920, 11115, 11310, 11505, 11700, 11895, 12090, 12285, 12480, 12675, 12870, 13065, 13260, 13455, 13650, 13845, 14040, 14235, 14430, 14625, 14820, 15015, 15210, 15405, 15600, 15795, 15990, 16185, 16380, 16575, 16770, 16965, 17160, 17355, 17550, 17745, 17940, 18135, 18330, 18525, 18720, 18915, 19110, 19305, 19500, 19695, 19890, 20085, 20280, 20475, 20670, 20865, 21060, 21255, 21450, 21645, 21840, 22035, 22230, 22425, 22620, 22815, 23010, 23205, 23400, 23595, 23790, 23985, 24180, 24375, 24570, 24765, 24960, 25155, 25350, 25545, 25740, 25935, 26130, 26325, 26520, 26715, 26910, 27105, 27300, 27495, 27690, 27885, 28080, 28275, 28470, 28665, 28860, 29055, 29250, 29445, 29640, 29835, 30030, 30225, 30420, 30615, 30810, 31005, 31200, 31395, 31590, 31785, 31980, 32175, 32370, 32565, 32760, 32955, 33150, 33345, 33540, 33735, 33930, 34125, 34320, 34515, 34710, 34905, 35100, 35295, 35490, 35685, 35880, 36075, 36270, 36465, 36660, 36855, 37050, 37245, 37440, 37635, 37830, 38025, 38220, 38415, 38610, 38805, 39000, 39195, 39390, 39585, 39780, 39975, 40170, 40365, 40560, 40755, 40950, 41145, 41340, 41535, 41730, 41925, 42120, 42315, 42510, 42705, 42900, 43095, 43290, 43485, 43680, 43875, 44070, 44265, 44460, 44655, 44850, 45045, 45240, 45435, 45630, 45825, 46020, 46215, 46410, 46605, 46800, 46995, 47190, 47385, 47580, 47775, 47970, 48165, 48360, 48555, 48750, 48945, 49140, 49335, 49530, 49725, 49920, 50115, 50310, 50505, 50700, 50895, 51090, 51285, 51480, 51675, 51870, 52065, 52260, 52455, 52650, 52845, 53040, 53235, 53430, 53625, 53820, 54015, 54210, 54405, 54600, 54795, 54990, 55185, 55380, 55575, 55770, 55965, 56160, 56355, 56550, 56745, 56940, 57135, 57330, 57525, 57720, 57915, 58110, 58305, 58500, 58695, 58890, 59085, 59280, 59475, 59670, 59865, 60060, 60255, 60450, 60645, 60840, 61035, 61230, 61425, 61620, 61815, 62010, 62205, 62400, 62595, 62790, 62985, 63180, 63375, 63570, 63765, 63960, 64155, 64350, 64545, 64740, 64935, 65130, 65325, 65520, 65715, 65910, 66105, 66300, 66495, 66690, 66885, 67080, 67275, 67470, 67665, 67860, 68055, 68250, 68445
Multiples of 351: 351, 702, 1053, 1404, 1755, 2106, 2457, 2808, 3159, 3510, 3861, 4212, 4563, 4914, 5265, 5616, 5967, 6318, 6669, 7020, 7371, 7722, 8073, 8424, 8775, 9126, 9477, 9828, 10179, 10530, 10881, 11232, 11583, 11934, 12285, 12636, 12987, 13338, 13689, 14040, 14391, 14742, 15093, 15444, 15795, 16146, 16497, 16848, 17199, 17550, 17901, 18252, 18603, 18954, 19305, 19656, 20007, 20358, 20709, 21060, 21411, 21762, 22113, 22464, 22815, 23166, 23517, 23868, 24219, 24570, 24921, 25272, 25623, 25974, 26325, 26676, 27027, 27378, 27729, 28080, 28431, 28782, 29133, 29484, 29835, 30186, 30537, 30888, 31239, 31590, 31941, 32292, 32643, 32994, 33345, 33696, 34047, 34398, 34749, 35100, 35451, 35802, 36153, 36504, 36855, 37206, 37557, 37908, 38259, 38610, 38961, 39312, 39663, 40014, 40365, 40716, 41067, 41418, 41769, 42120, 42471, 42822, 43173, 43524, 43875, 44226, 44577, 44928, 45279, 45630, 45981, 46332, 46683, 47034, 47385, 47736, 48087, 48438, 48789, 49140, 49491, 49842, 50193, 50544, 50895, 51246, 51597, 51948, 52299, 52650, 53001, 53352, 53703, 54054, 54405, 54756, 55107, 55458, 55809, 56160, 56511, 56862, 57213, 57564, 57915, 58266, 58617, 58968, 59319, 59670, 60021, 60372, 60723, 61074, 61425, 61776, 62127, 62478, 62829, 63180, 63531, 63882, 64233, 64584, 64935, 65286, 65637, 65988, 66339, 66690, 67041, 67392, 67743, 68094, 68445

Hence, LCM of 195 and 351 is 1755.

Steps to find LCM of 195 and 351 by Common Division Method

Find all the prime numbers that would divide 195 and 351 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 195 and 351 by Common Division Method

3	195 351
3	65 117
3	65 39
5	65 13
13	13 13
	1 1

Hence, LCM of 195 and 351 is 3 x 3 x 3 x 5 x 13 = 1755.

Steps to find lcm of 195 and 351 by Formula

The formula for LCM is LCM (195, 351) = (195 x 351) / GCF (195, 351)
Apply the formula, and read off the answer!

Example: Find lcm of 195 and 351 by Formula

GCF of 195 and 351 = 39
LCM of 195 and 351 = (195 x 351) / 39
=> 68445 / 39

Hence, LCM of 195 and 351 is 1755.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 195 and 351 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 195 and 351 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 195 and 351.
So, LCM of 195 and 351 is 1755.

Both the cricket team and the rugby team had games, today. The cricket team plays every 195 days and the basketball team plays every 351 days. When will both teams have games on the same day again?

Given that the cricket team plays every 195 days and the basketball team plays every 351 days, so for finding the next time when both teams will play again we need to find the LCM of 195 and 351.
So, LCM of 195 and 351 is 1755.

Steve spends 195 dollars every day while George spends 351 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 195 and 351.
So, LCM of 195 and 351 is 1755.

Boxes that are 195 inches tall are being pilled next to boxes that are 351 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 195 and 351.
So, LCM of 195 and 351 is 1755.

Find the LCM of 195 and 351 using GCF method.

Greatest common factor or gcf of 195 and 351 is GCF(195, 351) x LCM(195, 351) = (195 x 351) / GCF(195, 351) = 1755.

Find the least common multiple of 195 and 351.

Least common multiple of 195 and 351 is 1755.

Find the least number which is exactly divisible by 195 and 351.

Least number which is exactly divisible by 195 and 351 is 1755.

What is LCM of 195 and 351?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 195 and 351 by Listing Method

Example: Find lcm of 195 and 351 by Listing Method

Steps to find LCM of 195 and 351 by Common Division Method

Example: Find lcm of 195 and 351 by Common Division Method

Steps to find lcm of 195 and 351 by Formula

Example: Find lcm of 195 and 351 by Formula

Examples

What is LCM of 195 and 351?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 195 and 351 by Listing Method

Example: Find lcm of 195 and 351 by Listing Method

Steps to find LCM of 195 and 351 by Common Division Method

Example: Find lcm of 195 and 351 by Common Division Method

Steps to find lcm of 195 and 351 by Formula

Example: Find lcm of 195 and 351 by Formula

Examples

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