Least Common Multiple of 56, 52, 64, 469

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 56, 52, 64, 469 i.e. 390208 smallest integer divisible by all numbers.

Least common multiple (LCM) of 56, 52, 64, 469 is 390208.

LCM(56, 52, 64, 469) = 390208

LCM of 56, 52, 64, 469

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

LCM of:

Least Common Multiple of 56,52,64,469

Least Common Multiple (LCM) of 56,52,64,469 is 390208

2 56, 52, 64, 469
2 28, 26, 32, 469
2 14, 13, 16, 469
7 7, 13, 8, 469
1, 13, 8, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 13 x 8 x 67 = 390208

Least Common Multiple of 56,52,64,469 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 56,52,64,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,52,64,469) = 1

common factors(in case of two or more numbers have common factors) = 224

GCF(56,52,64,469) x common factors =1 x 224 = 224

LCM(56,52,64,469) = ( 56 × 52 × 64 × 469 ) / 224

LCM(56,52,64,469) = 87406592 / 224

LCM(56,52,64,469) = 390208

∴ Least Common Multiple of 56,52,64,469 is 390208

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 56, 52, 64, 469

1. What is the LCM of 56, 52, 64, 469?

Answer: LCM of 56, 52, 64, 469 is 390208.

2. What are the Factors of 390208?

Answer: Factors of 390208 are . There are integers that are factors of 390208

3. How to Find the LCM of 56, 52, 64, 469 ?

Least Common Multiple of 56, 52, 64, 469.

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(56, 52, 64, 469) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13 x 67 = 390208.