Least Common Multiple of 44, 64, 69, 420

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 44, 64, 69, 420 i.e. 1700160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 44, 64, 69, 420 is 1700160.

LCM(44, 64, 69, 420) = 1700160

LCM of 44, 64, 69, 420

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

LCM of:

Least Common Multiple of 44,64,69,420

Least Common Multiple (LCM) of 44,64,69,420 is 1700160

2 44, 64, 69, 420
2 22, 32, 69, 210
3 11, 16, 69, 105
11, 16, 23, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 16 x 23 x 35 = 1700160

Least Common Multiple of 44,64,69,420 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 44,64,69,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,64,69,420) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(44,64,69,420) x common factors =1 x 48 = 48

LCM(44,64,69,420) = ( 44 × 64 × 69 × 420 ) / 48

LCM(44,64,69,420) = 81607680 / 48

LCM(44,64,69,420) = 1700160

∴ Least Common Multiple of 44,64,69,420 is 1700160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 44, 64, 69, 420

1. What is the LCM of 44, 64, 69, 420?

Answer: LCM of 44, 64, 69, 420 is 1700160.

2. What are the Factors of 1700160?

Answer: Factors of 1700160 are . There are integers that are factors of 1700160

3. How to Find the LCM of 44, 64, 69, 420 ?

Least Common Multiple of 44, 64, 69, 420.

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(44, 64, 69, 420) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 23 = 1700160.