Least Common Multiple of 64, 61, 38, 380

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 64, 61, 38, 380 i.e. 370880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 64, 61, 38, 380 is 370880.

LCM(64, 61, 38, 380) = 370880

LCM of 64, 61, 38, 380

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

LCM of:

Least Common Multiple of 64,61,38,380

Least Common Multiple (LCM) of 64,61,38,380 is 370880

2 64, 61, 38, 380
2 32, 61, 19, 190
19 16, 61, 19, 95
16, 61, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 19 x 16 x 61 x 1 x 5 = 370880

Least Common Multiple of 64,61,38,380 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 64,61,38,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,61,38,380) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(64,61,38,380) x common factors =1 x 152 = 152

LCM(64,61,38,380) = ( 64 × 61 × 38 × 380 ) / 152

LCM(64,61,38,380) = 56373760 / 152

LCM(64,61,38,380) = 370880

∴ Least Common Multiple of 64,61,38,380 is 370880

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 64, 61, 38, 380

1. What is the LCM of 64, 61, 38, 380?

Answer: LCM of 64, 61, 38, 380 is 370880.

2. What are the Factors of 370880?

Answer: Factors of 370880 are . There are integers that are factors of 370880

3. How to Find the LCM of 64, 61, 38, 380 ?

Least Common Multiple of 64, 61, 38, 380.

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(64, 61, 38, 380) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 61 = 370880.