Least Common Multiple of 48, 52, 24, 548

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 48, 52, 24, 548 i.e. 85488 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 52, 24, 548 is 85488.

LCM(48, 52, 24, 548) = 85488

LCM of 48, 52, 24, 548

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

LCM of:

Least Common Multiple of 48,52,24,548

Least Common Multiple (LCM) of 48,52,24,548 is 85488

2 48, 52, 24, 548
2 24, 26, 12, 274
2 6, 13, 12, 137
3 3, 13, 6, 137
1, 13, 2, 137

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 13 x 2 x 137 = 85488

Least Common Multiple of 48,52,24,548 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 48,52,24,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,52,24,548) = 4

common factors(in case of two or more numbers have common factors) = 96

GCF(48,52,24,548) x common factors =4 x 96 = 384

LCM(48,52,24,548) = ( 48 × 52 × 24 × 548 ) / 384

LCM(48,52,24,548) = 32827392 / 384

LCM(48,52,24,548) = 85488

∴ Least Common Multiple of 48,52,24,548 is 85488

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 48, 52, 24, 548

1. What is the LCM of 48, 52, 24, 548?

Answer: LCM of 48, 52, 24, 548 is 85488.

2. What are the Factors of 85488?

Answer: Factors of 85488 are . There are integers that are factors of 85488

3. How to Find the LCM of 48, 52, 24, 548 ?

Least Common Multiple of 48, 52, 24, 548.

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(48, 52, 24, 548) = 2 x 2 x 2 x 2 x 3 x 13 x 137 = 85488.