Least Common Multiple of 6/57, 6/96, 8/42, 47/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/57, 6/96, 8/42, 47/762 quickly i.e. 376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/57, 6/96, 8/42, 47/762 is 376.

LCM(6/57, 6/96, 8/42, 47/762) = 376

LCM of 6/57, 6/96, 8/42, 47/762

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 6/57,6/96,8/42,47/762

Given numbers are 6/57,6/96,8/42,47/762

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 6,6,8,47

Least Common Multiple of Numerators i.e. LCM of 6,6,8,47 is 1128.

GCF of Denominators means GCF of 57,96,42,762 as per the given fractions.

GCF of 57,96,42,762 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,6,8,47

LCM of Fractions 6/57,6/96,8/42,47/762 is 376

2 6, 6, 8, 47
3 3, 3, 4, 47
1, 1, 4, 47

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 4 x 47 = 1128

Least Common Multiple of 6,6,8,47 with GCF Formula

Least Common Multiple of 6,6,8,47 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 6,6,8,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,6,8,47) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(6,6,8,47) x common factors =1 x 12 = 12

LCM(6,6,8,47) = ( 6 × 6 × 8 × 47 ) / 12

LCM(6,6,8,47) = 13536 / 12

LCM(6,6,8,47) = 1128


Lets's calculate GCF of 57,96,42,762

3 57, 96, 42, 762
19, 32, 14, 254

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1128/3

Therefore the LCM of Fractions 6/57,6/96,8/42,47/762 is 376

Greatest Common Factor of 57,96,42,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,96,42,762 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 57,96,42,762 . The biggest common factor number is the GCF number.
So the greatest common factor 57,96,42,762 is 3.


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 6/57, 6/96, 8/42, 47/762

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 6/57, 6/96, 8/42, 47/762?

Answer: LCM of Numerators as per given numbers 6/57, 6/96, 8/42, 47/762 is

LCM of Numerators i.e. for 6,6,8,47 is 1128

GCF of denominators i.e. for 57,96,42,762 is 3.

Thus, LCM of Fractions is 376.Finally, LCM of Fractions for 6/57, 6/96, 8/42, 47/762 is 376.