Least Common Multiple of 52, 32, 49, 49

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 52, 32, 49, 49 i.e. 20384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 52, 32, 49, 49 is 20384.

LCM(52, 32, 49, 49) = 20384

LCM of 52, 32, 49, 49

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

LCM of:

Least Common Multiple of 52,32,49,49

Least Common Multiple (LCM) of 52,32,49,49 is 20384

2 52, 32, 49, 49
2 26, 16, 49, 49
7 13, 8, 49, 49
7 13, 8, 7, 7
13, 8, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 13 x 8 x 1 x 1 = 20384

Least Common Multiple of 52,32,49,49 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 52,32,49,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,32,49,49) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(52,32,49,49) x common factors =1 x 196 = 196

LCM(52,32,49,49) = ( 52 × 32 × 49 × 49 ) / 196

LCM(52,32,49,49) = 3995264 / 196

LCM(52,32,49,49) = 20384

∴ Least Common Multiple of 52,32,49,49 is 20384

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 52, 32, 49, 49

1. What is the LCM of 52, 32, 49, 49?

Answer: LCM of 52, 32, 49, 49 is 20384.

2. What are the Factors of 20384?

Answer: Factors of 20384 are . There are integers that are factors of 20384

3. How to Find the LCM of 52, 32, 49, 49 ?

Least Common Multiple of 52, 32, 49, 49.

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(52, 32, 49, 49) = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 13 = 20384.