Least Common Multiple of 95/76, 58/29, 90/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/76, 58/29, 90/619 quickly i.e. 49590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/76, 58/29, 90/619 is 49590.

LCM(95/76, 58/29, 90/619) = 49590

LCM of 95/76, 58/29, 90/619

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 95/76,58/29,90/619

Given numbers are 95/76,58/29,90/619

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 95,58,90

Least Common Multiple of Numerators i.e. LCM of 95,58,90 is 49590.

GCF of Denominators means GCF of 76,29,619 as per the given fractions.

GCF of 76,29,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,58,90

LCM of Fractions 95/76,58/29,90/619 is 49590

2 95, 58, 90
5 95, 29, 45
19, 29, 9

∴ So the LCM of the given numbers is 2 x 5 x 19 x 29 x 9 = 49590

Least Common Multiple of 95,58,90 with GCF Formula

Least Common Multiple of 95,58,90 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 95,58,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,58,90) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(95,58,90) x common factors =1 x 10 = 10

LCM(95,58,90) = ( 95 × 58 × 90 ) / 10

LCM(95,58,90) = 495900 / 10

LCM(95,58,90) = 49590


Lets's calculate GCF of 76,29,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49590/1

Therefore the LCM of Fractions 95/76,58/29,90/619 is 49590

Greatest Common Factor of 76,29,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,29,619 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 76,29,619 . The biggest common factor number is the GCF number.
So the greatest common factor 76,29,619 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/76, 58/29, 90/619

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 95/76, 58/29, 90/619?

Answer: LCM of Numerators as per given numbers 95/76, 58/29, 90/619 is

LCM of Numerators i.e. for 95,58,90 is 49590

GCF of denominators i.e. for 76,29,619 is 1.

Thus, LCM of Fractions is 49590.Finally, LCM of Fractions for 95/76, 58/29, 90/619 is 49590.