Least Common Multiple of 251/824, 7242/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/824, 7242/900 quickly i.e. 1817742/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/824, 7242/900 is 1817742/4.

LCM(251/824, 7242/900) = 1817742/4

LCM of 251/824, 7242/900

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 251/824,7242/900

Given numbers are 251/824,7242/900

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 251,7242

Least Common Multiple of Numerators i.e. LCM of 251,7242 is 1817742.

GCF of Denominators means GCF of 824,900 as per the given fractions.

GCF of 824,900 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,7242

LCM of Fractions 251/824,7242/900 is 1817742/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1817742

Least Common Multiple of 251,7242 with GCF Formula

Least Common Multiple of 251,7242 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 251,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,7242) = 1

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

GCF(251,7242) x common factors =1 x 1 = 1

LCM(251,7242) = ( 251 × 7242 ) / 1

LCM(251,7242) = 1817742 / 1

LCM(251,7242) = 1817742


Lets's calculate GCF of 824,900

2 824, 900
2 412, 450
206, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1817742/4

Therefore the LCM of Fractions 251/824,7242/900 is 1817742/4

Greatest Common Factor of 824,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,900 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 824,900 . The biggest common factor number is the GCF number.
So the greatest common factor 824,900 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 251/824, 7242/900

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 251/824, 7242/900?

Answer: LCM of Numerators as per given numbers 251/824, 7242/900 is

LCM of Numerators i.e. for 251,7242 is 1817742

GCF of denominators i.e. for 824,900 is 4.

Thus, LCM of Fractions is 1817742/4.Finally, LCM of Fractions for 251/824, 7242/900 is 1817742/4.