What is LCM of 155 and 141?


Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 155 and 141, is defined as the smallest positive integer that is divisible by both. It is written as LCM(155, 141).

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 155 and 141 is 21855, where 155 and 141 are less than 21855.
  • 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(155, 141) = LCM(141, 155).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 155 and 141 by Listing Method

Example: Find lcm of 155 and 141 by Listing Method

  • Multiples of 155: 155, 310, 465, 620, 775, 930, 1085, 1240, 1395, 1550, 1705, 1860, 2015, 2170, 2325, 2480, 2635, 2790, 2945, 3100, 3255, 3410, 3565, 3720, 3875, 4030, 4185, 4340, 4495, 4650, 4805, 4960, 5115, 5270, 5425, 5580, 5735, 5890, 6045, 6200, 6355, 6510, 6665, 6820, 6975, 7130, 7285, 7440, 7595, 7750, 7905, 8060, 8215, 8370, 8525, 8680, 8835, 8990, 9145, 9300, 9455, 9610, 9765, 9920, 10075, 10230, 10385, 10540, 10695, 10850, 11005, 11160, 11315, 11470, 11625, 11780, 11935, 12090, 12245, 12400, 12555, 12710, 12865, 13020, 13175, 13330, 13485, 13640, 13795, 13950, 14105, 14260, 14415, 14570, 14725, 14880, 15035, 15190, 15345, 15500, 15655, 15810, 15965, 16120, 16275, 16430, 16585, 16740, 16895, 17050, 17205, 17360, 17515, 17670, 17825, 17980, 18135, 18290, 18445, 18600, 18755, 18910, 19065, 19220, 19375, 19530, 19685, 19840, 19995, 20150, 20305, 20460, 20615, 20770, 20925, 21080, 21235, 21390, 21545, 21700, 21855
  • Multiples of 141: 141, 282, 423, 564, 705, 846, 987, 1128, 1269, 1410, 1551, 1692, 1833, 1974, 2115, 2256, 2397, 2538, 2679, 2820, 2961, 3102, 3243, 3384, 3525, 3666, 3807, 3948, 4089, 4230, 4371, 4512, 4653, 4794, 4935, 5076, 5217, 5358, 5499, 5640, 5781, 5922, 6063, 6204, 6345, 6486, 6627, 6768, 6909, 7050, 7191, 7332, 7473, 7614, 7755, 7896, 8037, 8178, 8319, 8460, 8601, 8742, 8883, 9024, 9165, 9306, 9447, 9588, 9729, 9870, 10011, 10152, 10293, 10434, 10575, 10716, 10857, 10998, 11139, 11280, 11421, 11562, 11703, 11844, 11985, 12126, 12267, 12408, 12549, 12690, 12831, 12972, 13113, 13254, 13395, 13536, 13677, 13818, 13959, 14100, 14241, 14382, 14523, 14664, 14805, 14946, 15087, 15228, 15369, 15510, 15651, 15792, 15933, 16074, 16215, 16356, 16497, 16638, 16779, 16920, 17061, 17202, 17343, 17484, 17625, 17766, 17907, 18048, 18189, 18330, 18471, 18612, 18753, 18894, 19035, 19176, 19317, 19458, 19599, 19740, 19881, 20022, 20163, 20304, 20445, 20586, 20727, 20868, 21009, 21150, 21291, 21432, 21573, 21714, 21855

Hence, LCM of 155 and 141 is 21855.

Steps to find LCM of 155 and 141 by Common Division Method

Example: Find lcm of 155 and 141 by Common Division Method

3 155 141
5 155 47
31 31 47
47 1 47
1 1

Hence, LCM of 155 and 141 is 3 x 5 x 31 x 47 = 21855.

Steps to find lcm of 155 and 141 by Formula

Example: Find lcm of 155 and 141 by Formula

  • GCF of 155 and 141 = 1
  • LCM of 155 and 141 = (155 x 141) / 1
  • => 21855 / 1

Hence, LCM of 155 and 141 is 21855.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 155 and 141 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 155 and 141 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 155 and 141.
So, LCM of 155 and 141 is 21855.

Both the cricket team and the rugby team had games, today. The cricket team plays every 155 days and the basketball team plays every 141 days. When will both teams have games on the same day again?

Given that the cricket team plays every 155 days and the basketball team plays every 141 days, so for finding the next time when both teams will play again we need to find the LCM of 155 and 141.
So, LCM of 155 and 141 is 21855.

Steve spends 155 dollars every day while George spends 141 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 155 and 141.
So, LCM of 155 and 141 is 21855.

Boxes that are 155 inches tall are being pilled next to boxes that are 141 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 155 and 141.
So, LCM of 155 and 141 is 21855.

Find the LCM of 155 and 141 using GCF method.

Greatest common factor or gcf of 155 and 141 is GCF(155, 141) x LCM(155, 141) = (155 x 141) / GCF(155, 141) = 21855.

Find the least common multiple of 155 and 141.

Least common multiple of 155 and 141 is 21855.

Find the least number which is exactly divisible by 155 and 141.

Least number which is exactly divisible by 155 and 141 is 21855.