Least Common Multiple of 138, 355, 524, 262, 512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 138, 355, 524, 262, 512 i.e. 1642928640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 138, 355, 524, 262, 512 is 1642928640.

LCM(138, 355, 524, 262, 512) = 1642928640

LCM of 138, 355, 524, 262, 512

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 138,355,524,262,512

Least Common Multiple (LCM) of 138,355,524,262,512 is 1642928640

2 138, 355, 524, 262, 512
2 69, 355, 262, 131, 256
131 69, 355, 131, 131, 128
69, 355, 1, 1, 128

∴ So the LCM of the given numbers is 2 x 2 x 131 x 69 x 355 x 1 x 1 x 128 = 1642928640

Least Common Multiple of 138,355,524,262,512 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 138,355,524,262,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,355,524,262,512) = 1

common factors(in case of two or more numbers have common factors) = 2096

GCF(138,355,524,262,512) x common factors =1 x 2096 = 2096

LCM(138,355,524,262,512) = ( 138 × 355 × 524 × 262 × 512 ) / 2096

LCM(138,355,524,262,512) = 3443578429440 / 2096

LCM(138,355,524,262,512) = 1642928640

∴ Least Common Multiple of 138,355,524,262,512 is 1642928640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 138, 355, 524, 262, 512

1. What is the LCM of 138, 355, 524, 262, 512?

Answer: LCM of 138, 355, 524, 262, 512 is 1642928640.

2. What are the Factors of 1642928640?

Answer: Factors of 1642928640 are . There are integers that are factors of 1642928640

3. How to Find the LCM of 138, 355, 524, 262, 512 ?

Least Common Multiple of 138, 355, 524, 262, 512.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(138, 355, 524, 262, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 71 x 131 = 1642928640.