Least Common Multiple of 320, 800, 552

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 320, 800, 552 i.e. 110400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 320, 800, 552 is 110400.

LCM(320, 800, 552) = 110400

LCM of 320, 800, 552

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

LCM of:

Least Common Multiple of 320,800,552

Least Common Multiple (LCM) of 320,800,552 is 110400

2 320, 800, 552
2 160, 400, 276
2 80, 200, 138
2 40, 100, 69
2 20, 50, 69
5 10, 25, 69
2, 5, 69

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 2 x 5 x 69 = 110400

Least Common Multiple of 320,800,552 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 320,800,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,800,552) = 8

common factors(in case of two or more numbers have common factors) = 160

GCF(320,800,552) x common factors =8 x 160 = 1280

LCM(320,800,552) = ( 320 × 800 × 552 ) / 1280

LCM(320,800,552) = 141312000 / 1280

LCM(320,800,552) = 110400

∴ Least Common Multiple of 320,800,552 is 110400

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 320, 800, 552

1. What is the LCM of 320, 800, 552?

Answer: LCM of 320, 800, 552 is 110400.

2. What are the Factors of 110400?

Answer: Factors of 110400 are . There are integers that are factors of 110400

3. How to Find the LCM of 320, 800, 552 ?

Least Common Multiple of 320, 800, 552.

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(320, 800, 552) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23 = 110400.