Least Common Multiple of 76/76, 57/42, 78/60, 88/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/76, 57/42, 78/60, 88/343 quickly i.e. 65208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/76, 57/42, 78/60, 88/343 is 65208.

LCM(76/76, 57/42, 78/60, 88/343) = 65208

LCM of 76/76, 57/42, 78/60, 88/343

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 76/76,57/42,78/60,88/343

Given numbers are 76/76,57/42,78/60,88/343

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 76,57,78,88

Least Common Multiple of Numerators i.e. LCM of 76,57,78,88 is 65208.

GCF of Denominators means GCF of 76,42,60,343 as per the given fractions.

GCF of 76,42,60,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,57,78,88

LCM of Fractions 76/76,57/42,78/60,88/343 is 65208

2 76, 57, 78, 88
2 38, 57, 39, 44
3 19, 57, 39, 22
19 19, 19, 13, 22
1, 1, 13, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 1 x 13 x 22 = 65208

Least Common Multiple of 76,57,78,88 with GCF Formula

Least Common Multiple of 76,57,78,88 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 76,57,78,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,57,78,88) = 1

common factors(in case of two or more numbers have common factors) = 456

GCF(76,57,78,88) x common factors =1 x 456 = 456

LCM(76,57,78,88) = ( 76 × 57 × 78 × 88 ) / 456

LCM(76,57,78,88) = 29734848 / 456

LCM(76,57,78,88) = 65208


Lets's calculate GCF of 76,42,60,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65208/1

Therefore the LCM of Fractions 76/76,57/42,78/60,88/343 is 65208

Greatest Common Factor of 76,42,60,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,42,60,343 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 76,42,60,343 . The biggest common factor number is the GCF number.
So the greatest common factor 76,42,60,343 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 76/76, 57/42, 78/60, 88/343

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 76/76, 57/42, 78/60, 88/343?

Answer: LCM of Numerators as per given numbers 76/76, 57/42, 78/60, 88/343 is

LCM of Numerators i.e. for 76,57,78,88 is 65208

GCF of denominators i.e. for 76,42,60,343 is 1.

Thus, LCM of Fractions is 65208.Finally, LCM of Fractions for 76/76, 57/42, 78/60, 88/343 is 65208.