What is LCM of 115 and 145?


Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 115 and 145, is defined as the smallest positive integer that is divisible by both. It is written as LCM(115, 145).

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 115 and 145 is 3335, where 115 and 145 are less than 3335.
  • 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(115, 145) = LCM(145, 115).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 115 and 145 by Listing Method

Example: Find lcm of 115 and 145 by Listing Method

  • Multiples of 115: 115, 230, 345, 460, 575, 690, 805, 920, 1035, 1150, 1265, 1380, 1495, 1610, 1725, 1840, 1955, 2070, 2185, 2300, 2415, 2530, 2645, 2760, 2875, 2990, 3105, 3220, 3335, 3450, 3565, 3680, 3795, 3910, 4025, 4140, 4255, 4370, 4485, 4600, 4715, 4830, 4945, 5060, 5175, 5290, 5405, 5520, 5635, 5750, 5865, 5980, 6095, 6210, 6325, 6440, 6555, 6670, 6785, 6900, 7015, 7130, 7245, 7360, 7475, 7590, 7705, 7820, 7935, 8050, 8165, 8280, 8395, 8510, 8625, 8740, 8855, 8970, 9085, 9200, 9315, 9430, 9545, 9660, 9775, 9890, 10005, 10120, 10235, 10350, 10465, 10580, 10695, 10810, 10925, 11040, 11155, 11270, 11385, 11500, 11615, 11730, 11845, 11960, 12075, 12190, 12305, 12420, 12535, 12650, 12765, 12880, 12995, 13110, 13225, 13340, 13455, 13570, 13685, 13800, 13915, 14030, 14145, 14260, 14375, 14490, 14605, 14720, 14835, 14950, 15065, 15180, 15295, 15410, 15525, 15640, 15755, 15870, 15985, 16100, 16215, 16330, 16445, 16560, 16675
  • Multiples of 145: 145, 290, 435, 580, 725, 870, 1015, 1160, 1305, 1450, 1595, 1740, 1885, 2030, 2175, 2320, 2465, 2610, 2755, 2900, 3045, 3190, 3335, 3480, 3625, 3770, 3915, 4060, 4205, 4350, 4495, 4640, 4785, 4930, 5075, 5220, 5365, 5510, 5655, 5800, 5945, 6090, 6235, 6380, 6525, 6670, 6815, 6960, 7105, 7250, 7395, 7540, 7685, 7830, 7975, 8120, 8265, 8410, 8555, 8700, 8845, 8990, 9135, 9280, 9425, 9570, 9715, 9860, 10005, 10150, 10295, 10440, 10585, 10730, 10875, 11020, 11165, 11310, 11455, 11600, 11745, 11890, 12035, 12180, 12325, 12470, 12615, 12760, 12905, 13050, 13195, 13340, 13485, 13630, 13775, 13920, 14065, 14210, 14355, 14500, 14645, 14790, 14935, 15080, 15225, 15370, 15515, 15660, 15805, 15950, 16095, 16240, 16385, 16530, 16675

Hence, LCM of 115 and 145 is 3335.

Steps to find LCM of 115 and 145 by Common Division Method

Example: Find lcm of 115 and 145 by Common Division Method

5 115 145
23 23 29
29 1 29
1 1

Hence, LCM of 115 and 145 is 5 x 23 x 29 = 3335.

Steps to find lcm of 115 and 145 by Formula

Example: Find lcm of 115 and 145 by Formula

  • GCF of 115 and 145 = 5
  • LCM of 115 and 145 = (115 x 145) / 5
  • => 16675 / 5

Hence, LCM of 115 and 145 is 3335.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 115 and 145 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 115 and 145 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 115 and 145.
So, LCM of 115 and 145 is 3335.

Both the cricket team and the rugby team had games, today. The cricket team plays every 115 days and the basketball team plays every 145 days. When will both teams have games on the same day again?

Given that the cricket team plays every 115 days and the basketball team plays every 145 days, so for finding the next time when both teams will play again we need to find the LCM of 115 and 145.
So, LCM of 115 and 145 is 3335.

Steve spends 115 dollars every day while George spends 145 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 115 and 145.
So, LCM of 115 and 145 is 3335.

Boxes that are 115 inches tall are being pilled next to boxes that are 145 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 115 and 145.
So, LCM of 115 and 145 is 3335.

Find the LCM of 115 and 145 using GCF method.

Greatest common factor or gcf of 115 and 145 is GCF(115, 145) x LCM(115, 145) = (115 x 145) / GCF(115, 145) = 3335.

Find the least common multiple of 115 and 145.

Least common multiple of 115 and 145 is 3335.

Find the least number which is exactly divisible by 115 and 145.

Least number which is exactly divisible by 115 and 145 is 3335.