Least Common Multiple of 7, 304, 200, 224

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 7, 304, 200, 224 i.e. 106400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7, 304, 200, 224 is 106400.

LCM(7, 304, 200, 224) = 106400

LCM of 7, 304, 200, 224

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

LCM of:

Least Common Multiple of 7,304,200,224

Least Common Multiple (LCM) of 7,304,200,224 is 106400

2 7, 304, 200, 224
2 7, 152, 100, 112
2 7, 76, 50, 56
2 7, 38, 25, 28
7 7, 19, 25, 14
1, 19, 25, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 1 x 19 x 25 x 2 = 106400

Least Common Multiple of 7,304,200,224 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 7,304,200,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,304,200,224) = 1

common factors(in case of two or more numbers have common factors) = 896

GCF(7,304,200,224) x common factors =1 x 896 = 896

LCM(7,304,200,224) = ( 7 × 304 × 200 × 224 ) / 896

LCM(7,304,200,224) = 95334400 / 896

LCM(7,304,200,224) = 106400

∴ Least Common Multiple of 7,304,200,224 is 106400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 7, 304, 200, 224

1. What is the LCM of 7, 304, 200, 224?

Answer: LCM of 7, 304, 200, 224 is 106400.

2. What are the Factors of 106400?

Answer: Factors of 106400 are . There are integers that are factors of 106400

3. How to Find the LCM of 7, 304, 200, 224 ?

Least Common Multiple of 7, 304, 200, 224.

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(7, 304, 200, 224) = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 19 = 106400.