Least Common Multiple of 4295/13, 5625/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4295/13, 5625/724 quickly i.e. 4831875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4295/13, 5625/724 is 4831875.

LCM(4295/13, 5625/724) = 4831875

LCM of 4295/13, 5625/724

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 4295/13,5625/724

Given numbers are 4295/13,5625/724

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 4295,5625

Least Common Multiple of Numerators i.e. LCM of 4295,5625 is 4831875.

GCF of Denominators means GCF of 13,724 as per the given fractions.

GCF of 13,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4295,5625

LCM of Fractions 4295/13,5625/724 is 4831875

5 4295, 5625
859, 1125

∴ So the LCM of the given numbers is 5 x 859 x 1125 = 4831875

Least Common Multiple of 4295,5625 with GCF Formula

Least Common Multiple of 4295,5625 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 4295,5625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4295,5625) = 5

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

GCF(4295,5625) x common factors =5 x 1 = 5

LCM(4295,5625) = ( 4295 × 5625 ) / 5

LCM(4295,5625) = 24159375 / 5

LCM(4295,5625) = 4831875


Lets's calculate GCF of 13,724

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4831875/1

Therefore the LCM of Fractions 4295/13,5625/724 is 4831875

Greatest Common Factor of 13,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,724 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 724

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

1,2,4,181,362,724

Greatest Common Factor

We found the factors 13,724 . The biggest common factor number is the GCF number.
So the greatest common factor 13,724 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4295/13, 5625/724

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 4295/13, 5625/724?

Answer: LCM of Numerators as per given numbers 4295/13, 5625/724 is

LCM of Numerators i.e. for 4295,5625 is 4831875

GCF of denominators i.e. for 13,724 is 1.

Thus, LCM of Fractions is 4831875.Finally, LCM of Fractions for 4295/13, 5625/724 is 4831875.