Least Common Multiple of 51/95, 77/31, 374/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/95, 77/31, 374/16 quickly i.e. 7854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/95, 77/31, 374/16 is 7854.

LCM(51/95, 77/31, 374/16) = 7854

LCM of 51/95, 77/31, 374/16

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 51/95,77/31,374/16

Given numbers are 51/95,77/31,374/16

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 51,77,374

Least Common Multiple of Numerators i.e. LCM of 51,77,374 is 7854.

GCF of Denominators means GCF of 95,31,16 as per the given fractions.

GCF of 95,31,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,77,374

LCM of Fractions 51/95,77/31,374/16 is 7854

11 51, 77, 374
17 51, 7, 34
3, 7, 2

∴ So the LCM of the given numbers is 11 x 17 x 3 x 7 x 2 = 7854

Least Common Multiple of 51,77,374 with GCF Formula

Least Common Multiple of 51,77,374 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 51,77,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,77,374) = 1

common factors(in case of two or more numbers have common factors) = 187

GCF(51,77,374) x common factors =1 x 187 = 187

LCM(51,77,374) = ( 51 × 77 × 374 ) / 187

LCM(51,77,374) = 1468698 / 187

LCM(51,77,374) = 7854


Lets's calculate GCF of 95,31,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7854/1

Therefore the LCM of Fractions 51/95,77/31,374/16 is 7854

Greatest Common Factor of 95,31,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,31,16 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 95,31,16 . The biggest common factor number is the GCF number.
So the greatest common factor 95,31,16 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/95, 77/31, 374/16

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 51/95, 77/31, 374/16?

Answer: LCM of Numerators as per given numbers 51/95, 77/31, 374/16 is

LCM of Numerators i.e. for 51,77,374 is 7854

GCF of denominators i.e. for 95,31,16 is 1.

Thus, LCM of Fractions is 7854.Finally, LCM of Fractions for 51/95, 77/31, 374/16 is 7854.