Least Common Multiple of 5735/25, 6479/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5735/25, 6479/532 quickly i.e. 1198615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5735/25, 6479/532 is 1198615.

LCM(5735/25, 6479/532) = 1198615

LCM of 5735/25, 6479/532

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 5735/25,6479/532

Given numbers are 5735/25,6479/532

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 5735,6479

Least Common Multiple of Numerators i.e. LCM of 5735,6479 is 1198615.

GCF of Denominators means GCF of 25,532 as per the given fractions.

GCF of 25,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5735,6479

LCM of Fractions 5735/25,6479/532 is 1198615

31 5735, 6479
185, 209

∴ So the LCM of the given numbers is 31 x 185 x 209 = 1198615

Least Common Multiple of 5735,6479 with GCF Formula

Least Common Multiple of 5735,6479 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 5735,6479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5735,6479) = 31

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

GCF(5735,6479) x common factors =31 x 1 = 31

LCM(5735,6479) = ( 5735 × 6479 ) / 31

LCM(5735,6479) = 37157065 / 31

LCM(5735,6479) = 1198615


Lets's calculate GCF of 25,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1198615/1

Therefore the LCM of Fractions 5735/25,6479/532 is 1198615

Greatest Common Factor of 25,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,532 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 25,532 . The biggest common factor number is the GCF number.
So the greatest common factor 25,532 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5735/25, 6479/532

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 5735/25, 6479/532?

Answer: LCM of Numerators as per given numbers 5735/25, 6479/532 is

LCM of Numerators i.e. for 5735,6479 is 1198615

GCF of denominators i.e. for 25,532 is 1.

Thus, LCM of Fractions is 1198615.Finally, LCM of Fractions for 5735/25, 6479/532 is 1198615.