Least Common Multiple of 51/415, 31/361, 731/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/415, 31/361, 731/125 quickly i.e. 67983 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/415, 31/361, 731/125 is 67983.

LCM(51/415, 31/361, 731/125) = 67983

LCM of 51/415, 31/361, 731/125

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 51/415,31/361,731/125

Given numbers are 51/415,31/361,731/125

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 51,31,731

Least Common Multiple of Numerators i.e. LCM of 51,31,731 is 67983.

GCF of Denominators means GCF of 415,361,125 as per the given fractions.

GCF of 415,361,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,31,731

LCM of Fractions 51/415,31/361,731/125 is 67983

17 51, 31, 731
3, 31, 43

∴ So the LCM of the given numbers is 17 x 3 x 31 x 43 = 67983

Least Common Multiple of 51,31,731 with GCF Formula

Least Common Multiple of 51,31,731 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 51,31,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,31,731) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,31,731) x common factors =1 x 17 = 17

LCM(51,31,731) = ( 51 × 31 × 731 ) / 17

LCM(51,31,731) = 1155711 / 17

LCM(51,31,731) = 67983


Lets's calculate GCF of 415,361,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67983/1

Therefore the LCM of Fractions 51/415,31/361,731/125 is 67983

Greatest Common Factor of 415,361,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,361,125 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 415,361,125 . The biggest common factor number is the GCF number.
So the greatest common factor 415,361,125 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/415, 31/361, 731/125

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 51/415, 31/361, 731/125?

Answer: LCM of Numerators as per given numbers 51/415, 31/361, 731/125 is

LCM of Numerators i.e. for 51,31,731 is 67983

GCF of denominators i.e. for 415,361,125 is 1.

Thus, LCM of Fractions is 67983.Finally, LCM of Fractions for 51/415, 31/361, 731/125 is 67983.