Least Common Multiple of 76/10, 38/42, 24/79, 36/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/10, 38/42, 24/79, 36/114 quickly i.e. 1368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/10, 38/42, 24/79, 36/114 is 1368.

LCM(76/10, 38/42, 24/79, 36/114) = 1368

LCM of 76/10, 38/42, 24/79, 36/114

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 76/10,38/42,24/79,36/114

Given numbers are 76/10,38/42,24/79,36/114

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 76,38,24,36

Least Common Multiple of Numerators i.e. LCM of 76,38,24,36 is 1368.

GCF of Denominators means GCF of 10,42,79,114 as per the given fractions.

GCF of 10,42,79,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,38,24,36

LCM of Fractions 76/10,38/42,24/79,36/114 is 1368

2 76, 38, 24, 36
2 38, 19, 12, 18
3 19, 19, 6, 9
19 19, 19, 2, 3
1, 1, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 1 x 2 x 3 = 1368

Least Common Multiple of 76,38,24,36 with GCF Formula

Least Common Multiple of 76,38,24,36 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 76,38,24,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,38,24,36) = 2

common factors(in case of two or more numbers have common factors) = 912

GCF(76,38,24,36) x common factors =2 x 912 = 1824

LCM(76,38,24,36) = ( 76 × 38 × 24 × 36 ) / 1824

LCM(76,38,24,36) = 2495232 / 1824

LCM(76,38,24,36) = 1368


Lets's calculate GCF of 10,42,79,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1368/1

Therefore the LCM of Fractions 76/10,38/42,24/79,36/114 is 1368

Greatest Common Factor of 10,42,79,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,42,79,114 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 10,42,79,114 . The biggest common factor number is the GCF number.
So the greatest common factor 10,42,79,114 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 76/10, 38/42, 24/79, 36/114

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 76/10, 38/42, 24/79, 36/114?

Answer: LCM of Numerators as per given numbers 76/10, 38/42, 24/79, 36/114 is

LCM of Numerators i.e. for 76,38,24,36 is 1368

GCF of denominators i.e. for 10,42,79,114 is 1.

Thus, LCM of Fractions is 1368.Finally, LCM of Fractions for 76/10, 38/42, 24/79, 36/114 is 1368.