What is the LCM of 154 and 231 - Find out answer step by step

What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 154 and 231.

Properties of LCM

LCM follows associative property, that means LCM(154, 231) = LCM(231, 154).
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 154 and 231 is 462, where 154 and 231 are less than 462.
The LCM of two or more prime numbers is their product.

Steps to find lcm of 154 and 231 by Listing Method

Find some first multiples of 154 and 231.
Find the least common multiple, and read off the answer!

Example: Find lcm of 154 and 231 by Listing Method

Multiples of 154: 154, 308, 462, 616, 770, 924, 1078, 1232, 1386, 1540, 1694, 1848, 2002, 2156, 2310, 2464, 2618, 2772, 2926, 3080, 3234, 3388, 3542, 3696, 3850, 4004, 4158, 4312, 4466, 4620, 4774, 4928, 5082, 5236, 5390, 5544, 5698, 5852, 6006, 6160, 6314, 6468, 6622, 6776, 6930, 7084, 7238, 7392, 7546, 7700, 7854, 8008, 8162, 8316, 8470, 8624, 8778, 8932, 9086, 9240, 9394, 9548, 9702, 9856, 10010, 10164, 10318, 10472, 10626, 10780, 10934, 11088, 11242, 11396, 11550, 11704, 11858, 12012, 12166, 12320, 12474, 12628, 12782, 12936, 13090, 13244, 13398, 13552, 13706, 13860, 14014, 14168, 14322, 14476, 14630, 14784, 14938, 15092, 15246, 15400, 15554, 15708, 15862, 16016, 16170, 16324, 16478, 16632, 16786, 16940, 17094, 17248, 17402, 17556, 17710, 17864, 18018, 18172, 18326, 18480, 18634, 18788, 18942, 19096, 19250, 19404, 19558, 19712, 19866, 20020, 20174, 20328, 20482, 20636, 20790, 20944, 21098, 21252, 21406, 21560, 21714, 21868, 22022, 22176, 22330, 22484, 22638, 22792, 22946, 23100, 23254, 23408, 23562, 23716, 23870, 24024, 24178, 24332, 24486, 24640, 24794, 24948, 25102, 25256, 25410, 25564, 25718, 25872, 26026, 26180, 26334, 26488, 26642, 26796, 26950, 27104, 27258, 27412, 27566, 27720, 27874, 28028, 28182, 28336, 28490, 28644, 28798, 28952, 29106, 29260, 29414, 29568, 29722, 29876, 30030, 30184, 30338, 30492, 30646, 30800, 30954, 31108, 31262, 31416, 31570, 31724, 31878, 32032, 32186, 32340, 32494, 32648, 32802, 32956, 33110, 33264, 33418, 33572, 33726, 33880, 34034, 34188, 34342, 34496, 34650, 34804, 34958, 35112, 35266, 35420, 35574
Multiples of 231: 231, 462, 693, 924, 1155, 1386, 1617, 1848, 2079, 2310, 2541, 2772, 3003, 3234, 3465, 3696, 3927, 4158, 4389, 4620, 4851, 5082, 5313, 5544, 5775, 6006, 6237, 6468, 6699, 6930, 7161, 7392, 7623, 7854, 8085, 8316, 8547, 8778, 9009, 9240, 9471, 9702, 9933, 10164, 10395, 10626, 10857, 11088, 11319, 11550, 11781, 12012, 12243, 12474, 12705, 12936, 13167, 13398, 13629, 13860, 14091, 14322, 14553, 14784, 15015, 15246, 15477, 15708, 15939, 16170, 16401, 16632, 16863, 17094, 17325, 17556, 17787, 18018, 18249, 18480, 18711, 18942, 19173, 19404, 19635, 19866, 20097, 20328, 20559, 20790, 21021, 21252, 21483, 21714, 21945, 22176, 22407, 22638, 22869, 23100, 23331, 23562, 23793, 24024, 24255, 24486, 24717, 24948, 25179, 25410, 25641, 25872, 26103, 26334, 26565, 26796, 27027, 27258, 27489, 27720, 27951, 28182, 28413, 28644, 28875, 29106, 29337, 29568, 29799, 30030, 30261, 30492, 30723, 30954, 31185, 31416, 31647, 31878, 32109, 32340, 32571, 32802, 33033, 33264, 33495, 33726, 33957, 34188, 34419, 34650, 34881, 35112, 35343, 35574

Hence, LCM of 154 and 231 is 462.

Steps to find LCM of 154 and 231 by Common Division Method

Find all the prime numbers that would divide 154 and 231 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 154 and 231 by Common Division Method

2	154 231
3	77 231
7	77 77
11	11 11
	1 1

Hence, LCM of 154 and 231 is 2 x 3 x 7 x 11 = 462.

Steps to find lcm of 154 and 231 by Formula

The formula for LCM is LCM (154, 231) = (154 x 231) / GCF (154, 231)
Apply the formula, and read off the answer!

Example: Find lcm of 154 and 231 by Formula

GCF of 154 and 231 = 77
LCM of 154 and 231 = (154 x 231) / 77
=> 35574 / 77

Hence, LCM of 154 and 231 is 462.

Examples

A shopkeeper sells candies in packet of 154 and chocolates in packet of 231. 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 154 and 231.
So, LCM of 154 and 231 is 462.

Both the cricket team and the rugby team had games, today. The cricket team plays every 154 days and the basketball team plays every 231 days. When will both teams have games on the same day again?

Given that the cricket team plays every 154 days and the basketball team plays every 231 days, so for finding the next time when both teams will play again we need to find the LCM of 154 and 231.
So, LCM of 154 and 231 is 462.

Steve spends 154 dollars every day while George spends 231 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 154 and 231.
So, LCM of 154 and 231 is 462.

Sammy's company prints 154 textbooks at a time. Daniel's company prints textbooks in sets of 231 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 154 and 231.
So, LCM of 154 and 231 is 462.

Ariel exercises every 154 days and Rubel every 231 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 154 and 231 is 462.

Find the least common multiple of 154 and 231.

Least common multiple of 154 and 231 is 462.

Find the least number which is exactly divisible by 154 and 231.

Least number which is exactly divisible by 154 and 231 is 462.

What is LCM of 154 and 231?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 154 and 231 by Listing Method

Example: Find lcm of 154 and 231 by Listing Method

Steps to find LCM of 154 and 231 by Common Division Method

Example: Find lcm of 154 and 231 by Common Division Method

Steps to find lcm of 154 and 231 by Formula

Example: Find lcm of 154 and 231 by Formula

Examples

What is LCM of 154 and 231?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 154 and 231 by Listing Method

Example: Find lcm of 154 and 231 by Listing Method

Steps to find LCM of 154 and 231 by Common Division Method

Example: Find lcm of 154 and 231 by Common Division Method

Steps to find lcm of 154 and 231 by Formula

Example: Find lcm of 154 and 231 by Formula

Examples

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