Least Common Multiple of 60/74, 95/16, 771/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/74, 95/16, 771/631 quickly i.e. 292980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/74, 95/16, 771/631 is 292980.

LCM(60/74, 95/16, 771/631) = 292980

LCM of 60/74, 95/16, 771/631

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 60/74,95/16,771/631

Given numbers are 60/74,95/16,771/631

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 60,95,771

Least Common Multiple of Numerators i.e. LCM of 60,95,771 is 292980.

GCF of Denominators means GCF of 74,16,631 as per the given fractions.

GCF of 74,16,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,95,771

LCM of Fractions 60/74,95/16,771/631 is 292980

3 60, 95, 771
5 20, 95, 257
4, 19, 257

∴ So the LCM of the given numbers is 3 x 5 x 4 x 19 x 257 = 292980

Least Common Multiple of 60,95,771 with GCF Formula

Least Common Multiple of 60,95,771 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 60,95,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,95,771) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,95,771) x common factors =1 x 15 = 15

LCM(60,95,771) = ( 60 × 95 × 771 ) / 15

LCM(60,95,771) = 4394700 / 15

LCM(60,95,771) = 292980


Lets's calculate GCF of 74,16,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292980/1

Therefore the LCM of Fractions 60/74,95/16,771/631 is 292980

Greatest Common Factor of 74,16,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,16,631 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 74,16,631 . The biggest common factor number is the GCF number.
So the greatest common factor 74,16,631 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 60/74, 95/16, 771/631

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 60/74, 95/16, 771/631?

Answer: LCM of Numerators as per given numbers 60/74, 95/16, 771/631 is

LCM of Numerators i.e. for 60,95,771 is 292980

GCF of denominators i.e. for 74,16,631 is 1.

Thus, LCM of Fractions is 292980.Finally, LCM of Fractions for 60/74, 95/16, 771/631 is 292980.