Least Common Multiple of 25/532, 27/414, 357/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/532, 27/414, 357/805 quickly i.e. 80325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/532, 27/414, 357/805 is 80325.

LCM(25/532, 27/414, 357/805) = 80325

LCM of 25/532, 27/414, 357/805

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 25/532,27/414,357/805

Given numbers are 25/532,27/414,357/805

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 25,27,357

Least Common Multiple of Numerators i.e. LCM of 25,27,357 is 80325.

GCF of Denominators means GCF of 532,414,805 as per the given fractions.

GCF of 532,414,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,27,357

LCM of Fractions 25/532,27/414,357/805 is 80325

3 25, 27, 357
25, 9, 119

∴ So the LCM of the given numbers is 3 x 25 x 9 x 119 = 80325

Least Common Multiple of 25,27,357 with GCF Formula

Least Common Multiple of 25,27,357 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 25,27,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,27,357) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(25,27,357) x common factors =1 x 3 = 3

LCM(25,27,357) = ( 25 × 27 × 357 ) / 3

LCM(25,27,357) = 240975 / 3

LCM(25,27,357) = 80325


Lets's calculate GCF of 532,414,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80325/1

Therefore the LCM of Fractions 25/532,27/414,357/805 is 80325

Greatest Common Factor of 532,414,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,414,805 By Matching Biggest Common Factor Method

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

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 532,414,805 . The biggest common factor number is the GCF number.
So the greatest common factor 532,414,805 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/532, 27/414, 357/805

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 25/532, 27/414, 357/805?

Answer: LCM of Numerators as per given numbers 25/532, 27/414, 357/805 is

LCM of Numerators i.e. for 25,27,357 is 80325

GCF of denominators i.e. for 532,414,805 is 1.

Thus, LCM of Fractions is 80325.Finally, LCM of Fractions for 25/532, 27/414, 357/805 is 80325.