Least Common Multiple of 200/724, 544/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/724, 544/620 quickly i.e. 3400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/724, 544/620 is 3400.

LCM(200/724, 544/620) = 3400

LCM of 200/724, 544/620

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 200/724,544/620

Given numbers are 200/724,544/620

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 200,544

Least Common Multiple of Numerators i.e. LCM of 200,544 is 13600.

GCF of Denominators means GCF of 724,620 as per the given fractions.

GCF of 724,620 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,544

LCM of Fractions 200/724,544/620 is 3400

2 200, 544
2 100, 272
2 50, 136
25, 68

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 68 = 13600

Least Common Multiple of 200,544 with GCF Formula

Least Common Multiple of 200,544 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 200,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,544) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(200,544) x common factors =8 x 1 = 8

LCM(200,544) = ( 200 × 544 ) / 8

LCM(200,544) = 108800 / 8

LCM(200,544) = 13600


Lets's calculate GCF of 724,620

2 724, 620
2 362, 310
181, 155

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13600/4

Therefore the LCM of Fractions 200/724,544/620 is 3400

Greatest Common Factor of 724,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,620 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 724,620 . The biggest common factor number is the GCF number.
So the greatest common factor 724,620 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 200/724, 544/620

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 200/724, 544/620?

Answer: LCM of Numerators as per given numbers 200/724, 544/620 is

LCM of Numerators i.e. for 200,544 is 13600

GCF of denominators i.e. for 724,620 is 4.

Thus, LCM of Fractions is 3400.Finally, LCM of Fractions for 200/724, 544/620 is 3400.