Least Common Multiple of 59, 78, 52, 312

Q: How to Find the LCM of 59, 78, 52, 312 ?

Least Common Multiple of 59, 78, 52, 312 = 18408 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(59, 78, 52, 312) = 2 x 2 x 2 x 3 x 13 x 59 = 18408.

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 59, 78, 52, 312 i.e. 18408 smallest integer divisible by all numbers.

Least common multiple (LCM) of 59, 78, 52, 312 is 18408.

LCM(59, 78, 52, 312) = 18408

LCM of 59, 78, 52, 312

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

Least Common Multiple of 59, 78, 52, 312 by common division method
Least Common Multiple of 59, 78, 52, 312 with GCF Formula

Least Common Multiple of 59,78,52,312

Least Common Multiple (LCM) of 59,78,52,312 is 18408

2	59, 78, 52, 312
2	59, 39, 26, 156
3	59, 39, 13, 78
13	59, 13, 13, 26
	59, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 59 x 1 x 1 x 2 = 18408

Least Common Multiple of 59,78,52,312 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 59,78,52,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,78,52,312) = 1

common factors(in case of two or more numbers have common factors) = 4056

GCF(59,78,52,312) x common factors =1 x 4056 = 4056

LCM(59,78,52,312) = ( 59 × 78 × 52 × 312 ) / 4056

LCM(59,78,52,312) = 74662848 / 4056

LCM(59,78,52,312) = 18408

∴ Least Common Multiple of 59,78,52,312 is 18408

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 59, 78, 52, 312

1. What is the LCM of 59, 78, 52, 312?

Answer: LCM of 59, 78, 52, 312 is 18408.

2. What are the Factors of 18408?

Answer: Factors of 18408 are . There are integers that are factors of 18408

3. How to Find the LCM of 59, 78, 52, 312 ?

Least Common Multiple of 59, 78, 52, 312.

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(59, 78, 52, 312) = 2 x 2 x 2 x 3 x 13 x 59 = 18408.