Least Common Multiple of 4/95, 1/19, 79/56, 34/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/95, 1/19, 79/56, 34/656 quickly i.e. 5372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/95, 1/19, 79/56, 34/656 is 5372.

LCM(4/95, 1/19, 79/56, 34/656) = 5372

LCM of 4/95, 1/19, 79/56, 34/656

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 4/95,1/19,79/56,34/656

Given numbers are 4/95,1/19,79/56,34/656

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 4,1,79,34

Least Common Multiple of Numerators i.e. LCM of 4,1,79,34 is 5372.

GCF of Denominators means GCF of 95,19,56,656 as per the given fractions.

GCF of 95,19,56,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,1,79,34

LCM of Fractions 4/95,1/19,79/56,34/656 is 5372

2 4, 1, 79, 34
2, 1, 79, 17

∴ So the LCM of the given numbers is 2 x 2 x 1 x 79 x 17 = 5372

Least Common Multiple of 4,1,79,34 with GCF Formula

Least Common Multiple of 4,1,79,34 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 4,1,79,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,1,79,34) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(4,1,79,34) x common factors =1 x 2 = 2

LCM(4,1,79,34) = ( 4 × 1 × 79 × 34 ) / 2

LCM(4,1,79,34) = 10744 / 2

LCM(4,1,79,34) = 5372


Lets's calculate GCF of 95,19,56,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5372/1

Therefore the LCM of Fractions 4/95,1/19,79/56,34/656 is 5372

Greatest Common Factor of 95,19,56,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,19,56,656 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 95,19,56,656 . The biggest common factor number is the GCF number.
So the greatest common factor 95,19,56,656 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4/95, 1/19, 79/56, 34/656

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 4/95, 1/19, 79/56, 34/656?

Answer: LCM of Numerators as per given numbers 4/95, 1/19, 79/56, 34/656 is

LCM of Numerators i.e. for 4,1,79,34 is 5372

GCF of denominators i.e. for 95,19,56,656 is 1.

Thus, LCM of Fractions is 5372.Finally, LCM of Fractions for 4/95, 1/19, 79/56, 34/656 is 5372.