Least Common Multiple of 380, 462, 688, 829

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 380, 462, 688, 829 i.e. 12516374640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 380, 462, 688, 829 is 12516374640.

LCM(380, 462, 688, 829) = 12516374640

LCM of 380, 462, 688, 829

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

LCM of:

Least Common Multiple of 380,462,688,829

Least Common Multiple (LCM) of 380,462,688,829 is 12516374640

2 380, 462, 688, 829
2 190, 231, 344, 829
95, 231, 172, 829

∴ So the LCM of the given numbers is 2 x 2 x 95 x 231 x 172 x 829 = 12516374640

Least Common Multiple of 380,462,688,829 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 380,462,688,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,462,688,829) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(380,462,688,829) x common factors =1 x 8 = 8

LCM(380,462,688,829) = ( 380 × 462 × 688 × 829 ) / 8

LCM(380,462,688,829) = 100130997120 / 8

LCM(380,462,688,829) = 12516374640

∴ Least Common Multiple of 380,462,688,829 is 12516374640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 380, 462, 688, 829

1. What is the LCM of 380, 462, 688, 829?

Answer: LCM of 380, 462, 688, 829 is 12516374640.

2. What are the Factors of 12516374640?

Answer: Factors of 12516374640 are . There are integers that are factors of 12516374640

3. How to Find the LCM of 380, 462, 688, 829 ?

Least Common Multiple of 380, 462, 688, 829.

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(380, 462, 688, 829) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19 x 43 x 829 = 12516374640.