Least Common Multiple of 42, 96, 49, 544

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 42, 96, 49, 544 i.e. 79968 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 96, 49, 544 is 79968.

LCM(42, 96, 49, 544) = 79968

LCM of 42, 96, 49, 544

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

LCM of:

Least Common Multiple of 42,96,49,544

Least Common Multiple (LCM) of 42,96,49,544 is 79968

2 42, 96, 49, 544
2 21, 48, 49, 272
2 21, 24, 49, 136
2 21, 12, 49, 68
2 21, 6, 49, 34
3 21, 3, 49, 17
7 7, 1, 49, 17
1, 1, 7, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 1 x 7 x 17 = 79968

Least Common Multiple of 42,96,49,544 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 42,96,49,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,96,49,544) = 1

common factors(in case of two or more numbers have common factors) = 1344

GCF(42,96,49,544) x common factors =1 x 1344 = 1344

LCM(42,96,49,544) = ( 42 × 96 × 49 × 544 ) / 1344

LCM(42,96,49,544) = 107476992 / 1344

LCM(42,96,49,544) = 79968

∴ Least Common Multiple of 42,96,49,544 is 79968

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 42, 96, 49, 544

1. What is the LCM of 42, 96, 49, 544?

Answer: LCM of 42, 96, 49, 544 is 79968.

2. What are the Factors of 79968?

Answer: Factors of 79968 are . There are integers that are factors of 79968

3. How to Find the LCM of 42, 96, 49, 544 ?

Least Common Multiple of 42, 96, 49, 544.

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(42, 96, 49, 544) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 17 = 79968.