Least Common Multiple of 325/934, 584/675, 725/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 325/934, 584/675, 725/972 quickly i.e. 5504200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 325/934, 584/675, 725/972 is 5504200.

LCM(325/934, 584/675, 725/972) = 5504200

LCM of 325/934, 584/675, 725/972

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 325/934,584/675,725/972

Given numbers are 325/934,584/675,725/972

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 325,584,725

Least Common Multiple of Numerators i.e. LCM of 325,584,725 is 5504200.

GCF of Denominators means GCF of 934,675,972 as per the given fractions.

GCF of 934,675,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 325,584,725

LCM of Fractions 325/934,584/675,725/972 is 5504200

5 325, 584, 725
5 65, 584, 145
13, 584, 29

∴ So the LCM of the given numbers is 5 x 5 x 13 x 584 x 29 = 5504200

Least Common Multiple of 325,584,725 with GCF Formula

Least Common Multiple of 325,584,725 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 325,584,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,584,725) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(325,584,725) x common factors =1 x 25 = 25

LCM(325,584,725) = ( 325 × 584 × 725 ) / 25

LCM(325,584,725) = 137605000 / 25

LCM(325,584,725) = 5504200


Lets's calculate GCF of 934,675,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5504200/1

Therefore the LCM of Fractions 325/934,584/675,725/972 is 5504200

Greatest Common Factor of 934,675,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,675,972 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 934,675,972 . The biggest common factor number is the GCF number.
So the greatest common factor 934,675,972 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 325/934, 584/675, 725/972

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 325/934, 584/675, 725/972?

Answer: LCM of Numerators as per given numbers 325/934, 584/675, 725/972 is

LCM of Numerators i.e. for 325,584,725 is 5504200

GCF of denominators i.e. for 934,675,972 is 1.

Thus, LCM of Fractions is 5504200.Finally, LCM of Fractions for 325/934, 584/675, 725/972 is 5504200.