Least Common Multiple of 379, 126, 144, 507, 632

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 379, 126, 144, 507, 632 i.e. 5100509232 smallest integer divisible by all numbers.

Least common multiple (LCM) of 379, 126, 144, 507, 632 is 5100509232.

LCM(379, 126, 144, 507, 632) = 5100509232

LCM of 379, 126, 144, 507, 632

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

LCM of:

Least Common Multiple of 379,126,144,507,632

Least Common Multiple (LCM) of 379,126,144,507,632 is 5100509232

2 379, 126, 144, 507, 632
2 379, 63, 72, 507, 316
2 379, 63, 36, 507, 158
3 379, 63, 18, 507, 79
3 379, 21, 6, 169, 79
379, 7, 2, 169, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 379 x 7 x 2 x 169 x 79 = 5100509232

Least Common Multiple of 379,126,144,507,632 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 379,126,144,507,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,126,144,507,632) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(379,126,144,507,632) x common factors =1 x 432 = 432

LCM(379,126,144,507,632) = ( 379 × 126 × 144 × 507 × 632 ) / 432

LCM(379,126,144,507,632) = 2203419988224 / 432

LCM(379,126,144,507,632) = 5100509232

∴ Least Common Multiple of 379,126,144,507,632 is 5100509232

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 379, 126, 144, 507, 632

1. What is the LCM of 379, 126, 144, 507, 632?

Answer: LCM of 379, 126, 144, 507, 632 is 5100509232.

2. What are the Factors of 5100509232?

Answer: Factors of 5100509232 are . There are integers that are factors of 5100509232

3. How to Find the LCM of 379, 126, 144, 507, 632 ?

Least Common Multiple of 379, 126, 144, 507, 632.

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(379, 126, 144, 507, 632) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 13 x 79 x 379 = 5100509232.