Least Common Multiple of 76/28, 42/35, 38/14, 20/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/28, 42/35, 38/14, 20/130 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/28, 42/35, 38/14, 20/130 is 7980.

LCM(76/28, 42/35, 38/14, 20/130) = 7980

LCM of 76/28, 42/35, 38/14, 20/130

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 76/28,42/35,38/14,20/130

Given numbers are 76/28,42/35,38/14,20/130

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 76,42,38,20

Least Common Multiple of Numerators i.e. LCM of 76,42,38,20 is 7980.

GCF of Denominators means GCF of 28,35,14,130 as per the given fractions.

GCF of 28,35,14,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,42,38,20

LCM of Fractions 76/28,42/35,38/14,20/130 is 7980

2 76, 42, 38, 20
2 38, 21, 19, 10
19 19, 21, 19, 5
1, 21, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 21 x 1 x 5 = 7980

Least Common Multiple of 76,42,38,20 with GCF Formula

Least Common Multiple of 76,42,38,20 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 76,42,38,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,42,38,20) = 2

common factors(in case of two or more numbers have common factors) = 152

GCF(76,42,38,20) x common factors =2 x 152 = 304

LCM(76,42,38,20) = ( 76 × 42 × 38 × 20 ) / 304

LCM(76,42,38,20) = 2425920 / 304

LCM(76,42,38,20) = 7980


Lets's calculate GCF of 28,35,14,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/1

Therefore the LCM of Fractions 76/28,42/35,38/14,20/130 is 7980

Greatest Common Factor of 28,35,14,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,35,14,130 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 28,35,14,130 . The biggest common factor number is the GCF number.
So the greatest common factor 28,35,14,130 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 76/28, 42/35, 38/14, 20/130

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 76/28, 42/35, 38/14, 20/130?

Answer: LCM of Numerators as per given numbers 76/28, 42/35, 38/14, 20/130 is

LCM of Numerators i.e. for 76,42,38,20 is 7980

GCF of denominators i.e. for 28,35,14,130 is 1.

Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 76/28, 42/35, 38/14, 20/130 is 7980.