Least Common Multiple of 95/14, 20/35, 40/76, 79/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/14, 20/35, 40/76, 79/44 quickly i.e. 60040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/14, 20/35, 40/76, 79/44 is 60040.

LCM(95/14, 20/35, 40/76, 79/44) = 60040

LCM of 95/14, 20/35, 40/76, 79/44

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 95/14,20/35,40/76,79/44

Given numbers are 95/14,20/35,40/76,79/44

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 95,20,40,79

Least Common Multiple of Numerators i.e. LCM of 95,20,40,79 is 60040.

GCF of Denominators means GCF of 14,35,76,44 as per the given fractions.

GCF of 14,35,76,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,20,40,79

LCM of Fractions 95/14,20/35,40/76,79/44 is 60040

2 95, 20, 40, 79
2 95, 10, 20, 79
5 95, 5, 10, 79
19, 1, 2, 79

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 1 x 2 x 79 = 60040

Least Common Multiple of 95,20,40,79 with GCF Formula

Least Common Multiple of 95,20,40,79 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 95,20,40,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,20,40,79) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(95,20,40,79) x common factors =1 x 100 = 100

LCM(95,20,40,79) = ( 95 × 20 × 40 × 79 ) / 100

LCM(95,20,40,79) = 6004000 / 100

LCM(95,20,40,79) = 60040


Lets's calculate GCF of 14,35,76,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60040/1

Therefore the LCM of Fractions 95/14,20/35,40/76,79/44 is 60040

Greatest Common Factor of 14,35,76,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,35,76,44 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 35

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

1,5,7,35

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 14,35,76,44 . The biggest common factor number is the GCF number.
So the greatest common factor 14,35,76,44 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 95/14, 20/35, 40/76, 79/44

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 95/14, 20/35, 40/76, 79/44?

Answer: LCM of Numerators as per given numbers 95/14, 20/35, 40/76, 79/44 is

LCM of Numerators i.e. for 95,20,40,79 is 60040

GCF of denominators i.e. for 14,35,76,44 is 1.

Thus, LCM of Fractions is 60040.Finally, LCM of Fractions for 95/14, 20/35, 40/76, 79/44 is 60040.