What is the LCM of 226 and 39 - Find out answer step by step

What is LCM of two numbers?

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 226 and 39.

Properties of LCM

LCM follows associative property, that means LCM(226, 39) = LCM(39, 226).
LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 226 and 39 is 8814, where 226 and 39 are less than 8814.
The LCM of two or more prime numbers is their product.

Steps to find lcm of 226 and 39 by Listing Method

Find some first multiples of 226 and 39.
Find the least common multiple, and read off the answer!

Example: Find lcm of 226 and 39 by Listing Method

Multiples of 226: 226, 452, 678, 904, 1130, 1356, 1582, 1808, 2034, 2260, 2486, 2712, 2938, 3164, 3390, 3616, 3842, 4068, 4294, 4520, 4746, 4972, 5198, 5424, 5650, 5876, 6102, 6328, 6554, 6780, 7006, 7232, 7458, 7684, 7910, 8136, 8362, 8588, 8814
Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326, 1365, 1404, 1443, 1482, 1521, 1560, 1599, 1638, 1677, 1716, 1755, 1794, 1833, 1872, 1911, 1950, 1989, 2028, 2067, 2106, 2145, 2184, 2223, 2262, 2301, 2340, 2379, 2418, 2457, 2496, 2535, 2574, 2613, 2652, 2691, 2730, 2769, 2808, 2847, 2886, 2925, 2964, 3003, 3042, 3081, 3120, 3159, 3198, 3237, 3276, 3315, 3354, 3393, 3432, 3471, 3510, 3549, 3588, 3627, 3666, 3705, 3744, 3783, 3822, 3861, 3900, 3939, 3978, 4017, 4056, 4095, 4134, 4173, 4212, 4251, 4290, 4329, 4368, 4407, 4446, 4485, 4524, 4563, 4602, 4641, 4680, 4719, 4758, 4797, 4836, 4875, 4914, 4953, 4992, 5031, 5070, 5109, 5148, 5187, 5226, 5265, 5304, 5343, 5382, 5421, 5460, 5499, 5538, 5577, 5616, 5655, 5694, 5733, 5772, 5811, 5850, 5889, 5928, 5967, 6006, 6045, 6084, 6123, 6162, 6201, 6240, 6279, 6318, 6357, 6396, 6435, 6474, 6513, 6552, 6591, 6630, 6669, 6708, 6747, 6786, 6825, 6864, 6903, 6942, 6981, 7020, 7059, 7098, 7137, 7176, 7215, 7254, 7293, 7332, 7371, 7410, 7449, 7488, 7527, 7566, 7605, 7644, 7683, 7722, 7761, 7800, 7839, 7878, 7917, 7956, 7995, 8034, 8073, 8112, 8151, 8190, 8229, 8268, 8307, 8346, 8385, 8424, 8463, 8502, 8541, 8580, 8619, 8658, 8697, 8736, 8775, 8814

Hence, LCM of 226 and 39 is 8814.

Steps to find LCM of 226 and 39 by Common Division Method

Find all the prime numbers that would divide 226 and 39 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 226 and 39 by Common Division Method

2	226 39
3	113 39
13	113 13
113	113 1
	1 1

Hence, LCM of 226 and 39 is 2 x 3 x 13 x 113 = 8814.

Steps to find lcm of 226 and 39 by Formula

The formula for LCM is LCM (226, 39) = (226 x 39) / GCF (226, 39)
Apply the formula, and read off the answer!

Example: Find lcm of 226 and 39 by Formula

GCF of 226 and 39 = 1
LCM of 226 and 39 = (226 x 39) / 1
=> 8814 / 1

Hence, LCM of 226 and 39 is 8814.

Examples

A shopkeeper sells candies in packet of 226 and chocolates in packet of 39. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 226 and 39.
So, LCM of 226 and 39 is 8814.

Both the cricket team and the rugby team had games, today. The cricket team plays every 226 days and the basketball team plays every 39 days. When will both teams have games on the same day again?

Given that the cricket team plays every 226 days and the basketball team plays every 39 days, so for finding the next time when both teams will play again we need to find the LCM of 226 and 39.
So, LCM of 226 and 39 is 8814.

Steve spends 226 dollars every day while George spends 39 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 226 and 39.
So, LCM of 226 and 39 is 8814.

Sammy's company prints 226 textbooks at a time. Daniel's company prints textbooks in sets of 39 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 226 and 39.
So, LCM of 226 and 39 is 8814.

Ariel exercises every 226 days and Rubel every 39 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 226 and 39 is 8814.

Find the least common multiple of 226 and 39.

Least common multiple of 226 and 39 is 8814.

Find the least number which is exactly divisible by 226 and 39.

Least number which is exactly divisible by 226 and 39 is 8814.

What is LCM of 226 and 39?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 226 and 39 by Listing Method

Example: Find lcm of 226 and 39 by Listing Method

Steps to find LCM of 226 and 39 by Common Division Method

Example: Find lcm of 226 and 39 by Common Division Method

Steps to find lcm of 226 and 39 by Formula

Example: Find lcm of 226 and 39 by Formula

Examples

What is LCM of 226 and 39?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 226 and 39 by Listing Method

Example: Find lcm of 226 and 39 by Listing Method

Steps to find LCM of 226 and 39 by Common Division Method

Example: Find lcm of 226 and 39 by Common Division Method

Steps to find lcm of 226 and 39 by Formula

Example: Find lcm of 226 and 39 by Formula

Examples

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