Least Common Multiple of 30/76, 14/26, 21/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/76, 14/26, 21/42 quickly i.e. 105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/76, 14/26, 21/42 is 105.

LCM(30/76, 14/26, 21/42) = 105

LCM of 30/76, 14/26, 21/42

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 30/76,14/26,21/42

Given numbers are 30/76,14/26,21/42

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 30,14,21

Least Common Multiple of Numerators i.e. LCM of 30,14,21 is 210.

GCF of Denominators means GCF of 76,26,42 as per the given fractions.

GCF of 76,26,42 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,14,21

LCM of Fractions 30/76,14/26,21/42 is 105

2 30, 14, 21
3 15, 7, 21
7 5, 7, 7
5, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 1 x 1 = 210

Least Common Multiple of 30,14,21 with GCF Formula

Least Common Multiple of 30,14,21 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 30,14,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,14,21) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(30,14,21) x common factors =1 x 42 = 42

LCM(30,14,21) = ( 30 × 14 × 21 ) / 42

LCM(30,14,21) = 8820 / 42

LCM(30,14,21) = 210


Lets's calculate GCF of 76,26,42

2 76, 26, 42
38, 13, 21

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210/2

Therefore the LCM of Fractions 30/76,14/26,21/42 is 105

Greatest Common Factor of 76,26,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,26,42 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 76,26,42 . The biggest common factor number is the GCF number.
So the greatest common factor 76,26,42 is 2.


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 30/76, 14/26, 21/42

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 30/76, 14/26, 21/42?

Answer: LCM of Numerators as per given numbers 30/76, 14/26, 21/42 is

LCM of Numerators i.e. for 30,14,21 is 210

GCF of denominators i.e. for 76,26,42 is 2.

Thus, LCM of Fractions is 105.Finally, LCM of Fractions for 30/76, 14/26, 21/42 is 105.