Least Common Multiple of 328/52, 188/97, 775/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 328/52, 188/97, 775/987 quickly i.e. 11947400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/52, 188/97, 775/987 is 11947400.

LCM(328/52, 188/97, 775/987) = 11947400

LCM of 328/52, 188/97, 775/987

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 328/52,188/97,775/987

Given numbers are 328/52,188/97,775/987

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 328,188,775

Least Common Multiple of Numerators i.e. LCM of 328,188,775 is 11947400.

GCF of Denominators means GCF of 52,97,987 as per the given fractions.

GCF of 52,97,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,188,775

LCM of Fractions 328/52,188/97,775/987 is 11947400

2 328, 188, 775
2 164, 94, 775
82, 47, 775

∴ So the LCM of the given numbers is 2 x 2 x 82 x 47 x 775 = 11947400

Least Common Multiple of 328,188,775 with GCF Formula

Least Common Multiple of 328,188,775 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 328,188,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,188,775) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(328,188,775) x common factors =1 x 4 = 4

LCM(328,188,775) = ( 328 × 188 × 775 ) / 4

LCM(328,188,775) = 47789600 / 4

LCM(328,188,775) = 11947400


Lets's calculate GCF of 52,97,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11947400/1

Therefore the LCM of Fractions 328/52,188/97,775/987 is 11947400

Greatest Common Factor of 52,97,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,97,987 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 52,97,987 . The biggest common factor number is the GCF number.
So the greatest common factor 52,97,987 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 328/52, 188/97, 775/987

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 328/52, 188/97, 775/987?

Answer: LCM of Numerators as per given numbers 328/52, 188/97, 775/987 is

LCM of Numerators i.e. for 328,188,775 is 11947400

GCF of denominators i.e. for 52,97,987 is 1.

Thus, LCM of Fractions is 11947400.Finally, LCM of Fractions for 328/52, 188/97, 775/987 is 11947400.