Least Common Multiple of 56/725, 635/236, 333/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/725, 635/236, 333/975 quickly i.e. 11841480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/725, 635/236, 333/975 is 11841480.

LCM(56/725, 635/236, 333/975) = 11841480

LCM of 56/725, 635/236, 333/975

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 56/725,635/236,333/975

Given numbers are 56/725,635/236,333/975

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 56,635,333

Least Common Multiple of Numerators i.e. LCM of 56,635,333 is 11841480.

GCF of Denominators means GCF of 725,236,975 as per the given fractions.

GCF of 725,236,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,635,333

LCM of Fractions 56/725,635/236,333/975 is 11841480

Given numbers has no common factors except 1. So, there LCM is their product i.e 11841480

Least Common Multiple of 56,635,333 with GCF Formula

Least Common Multiple of 56,635,333 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 56,635,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,635,333) = 1

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

GCF(56,635,333) x common factors =1 x 1 = 1

LCM(56,635,333) = ( 56 × 635 × 333 ) / 1

LCM(56,635,333) = 11841480 / 1

LCM(56,635,333) = 11841480


Lets's calculate GCF of 725,236,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11841480/1

Therefore the LCM of Fractions 56/725,635/236,333/975 is 11841480

Greatest Common Factor of 725,236,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,236,975 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 725,236,975 . The biggest common factor number is the GCF number.
So the greatest common factor 725,236,975 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/725, 635/236, 333/975

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 56/725, 635/236, 333/975?

Answer: LCM of Numerators as per given numbers 56/725, 635/236, 333/975 is

LCM of Numerators i.e. for 56,635,333 is 11841480

GCF of denominators i.e. for 725,236,975 is 1.

Thus, LCM of Fractions is 11841480.Finally, LCM of Fractions for 56/725, 635/236, 333/975 is 11841480.