Least Common Multiple of 8/42, 61/812, 24/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/42, 61/812, 24/117 quickly i.e. 1464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/42, 61/812, 24/117 is 1464.

LCM(8/42, 61/812, 24/117) = 1464

LCM of 8/42, 61/812, 24/117

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 8/42,61/812,24/117

Given numbers are 8/42,61/812,24/117

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 8,61,24

Least Common Multiple of Numerators i.e. LCM of 8,61,24 is 1464.

GCF of Denominators means GCF of 42,812,117 as per the given fractions.

GCF of 42,812,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,61,24

LCM of Fractions 8/42,61/812,24/117 is 1464

2 8, 61, 24
2 4, 61, 12
2 2, 61, 6
1, 61, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 61 x 3 = 1464

Least Common Multiple of 8,61,24 with GCF Formula

Least Common Multiple of 8,61,24 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 8,61,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,61,24) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(8,61,24) x common factors =1 x 8 = 8

LCM(8,61,24) = ( 8 × 61 × 24 ) / 8

LCM(8,61,24) = 11712 / 8

LCM(8,61,24) = 1464


Lets's calculate GCF of 42,812,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1464/1

Therefore the LCM of Fractions 8/42,61/812,24/117 is 1464

Greatest Common Factor of 42,812,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,812,117 By Matching Biggest Common Factor Method

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 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 42,812,117 . The biggest common factor number is the GCF number.
So the greatest common factor 42,812,117 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 8/42, 61/812, 24/117

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 8/42, 61/812, 24/117?

Answer: LCM of Numerators as per given numbers 8/42, 61/812, 24/117 is

LCM of Numerators i.e. for 8,61,24 is 1464

GCF of denominators i.e. for 42,812,117 is 1.

Thus, LCM of Fractions is 1464.Finally, LCM of Fractions for 8/42, 61/812, 24/117 is 1464.