Least Common Multiple of 8/74, 8/51, 67/24, 52/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/74, 8/51, 67/24, 52/291 quickly i.e. 6968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/74, 8/51, 67/24, 52/291 is 6968.

LCM(8/74, 8/51, 67/24, 52/291) = 6968

LCM of 8/74, 8/51, 67/24, 52/291

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 8/74,8/51,67/24,52/291

Given numbers are 8/74,8/51,67/24,52/291

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 8,8,67,52

Least Common Multiple of Numerators i.e. LCM of 8,8,67,52 is 6968.

GCF of Denominators means GCF of 74,51,24,291 as per the given fractions.

GCF of 74,51,24,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,8,67,52

LCM of Fractions 8/74,8/51,67/24,52/291 is 6968

2 8, 8, 67, 52
2 4, 4, 67, 26
2 2, 2, 67, 13
1, 1, 67, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 67 x 13 = 6968

Least Common Multiple of 8,8,67,52 with GCF Formula

Least Common Multiple of 8,8,67,52 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 8,8,67,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,8,67,52) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(8,8,67,52) x common factors =1 x 32 = 32

LCM(8,8,67,52) = ( 8 × 8 × 67 × 52 ) / 32

LCM(8,8,67,52) = 222976 / 32

LCM(8,8,67,52) = 6968


Lets's calculate GCF of 74,51,24,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6968/1

Therefore the LCM of Fractions 8/74,8/51,67/24,52/291 is 6968

Greatest Common Factor of 74,51,24,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,51,24,291 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 74,51,24,291 . The biggest common factor number is the GCF number.
So the greatest common factor 74,51,24,291 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 8/74, 8/51, 67/24, 52/291

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 8/74, 8/51, 67/24, 52/291?

Answer: LCM of Numerators as per given numbers 8/74, 8/51, 67/24, 52/291 is

LCM of Numerators i.e. for 8,8,67,52 is 6968

GCF of denominators i.e. for 74,51,24,291 is 1.

Thus, LCM of Fractions is 6968.Finally, LCM of Fractions for 8/74, 8/51, 67/24, 52/291 is 6968.