Least Common Multiple of 74, 86, 48, 128

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 74, 86, 48, 128 i.e. 610944 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 86, 48, 128 is 610944.

LCM(74, 86, 48, 128) = 610944

LCM of 74, 86, 48, 128

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

LCM of:

Least Common Multiple of 74,86,48,128

Least Common Multiple (LCM) of 74,86,48,128 is 610944

2 74, 86, 48, 128
2 37, 43, 24, 64
2 37, 43, 12, 32
2 37, 43, 6, 16
37, 43, 3, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 43 x 3 x 8 = 610944

Least Common Multiple of 74,86,48,128 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 74,86,48,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,86,48,128) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(74,86,48,128) x common factors =2 x 32 = 64

LCM(74,86,48,128) = ( 74 × 86 × 48 × 128 ) / 64

LCM(74,86,48,128) = 39100416 / 64

LCM(74,86,48,128) = 610944

∴ Least Common Multiple of 74,86,48,128 is 610944

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 74, 86, 48, 128

1. What is the LCM of 74, 86, 48, 128?

Answer: LCM of 74, 86, 48, 128 is 610944.

2. What are the Factors of 610944?

Answer: Factors of 610944 are . There are integers that are factors of 610944

3. How to Find the LCM of 74, 86, 48, 128 ?

Least Common Multiple of 74, 86, 48, 128.

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(74, 86, 48, 128) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 43 = 610944.