Least Common Multiple of 73/959, 446/935, 276/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/959, 446/935, 276/971 quickly i.e. 4493004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/959, 446/935, 276/971 is 4493004.

LCM(73/959, 446/935, 276/971) = 4493004

LCM of 73/959, 446/935, 276/971

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 73/959,446/935,276/971

Given numbers are 73/959,446/935,276/971

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 73,446,276

Least Common Multiple of Numerators i.e. LCM of 73,446,276 is 4493004.

GCF of Denominators means GCF of 959,935,971 as per the given fractions.

GCF of 959,935,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,446,276

LCM of Fractions 73/959,446/935,276/971 is 4493004

2 73, 446, 276
73, 223, 138

∴ So the LCM of the given numbers is 2 x 73 x 223 x 138 = 4493004

Least Common Multiple of 73,446,276 with GCF Formula

Least Common Multiple of 73,446,276 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 73,446,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,446,276) = 1

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

GCF(73,446,276) x common factors =1 x 2 = 2

LCM(73,446,276) = ( 73 × 446 × 276 ) / 2

LCM(73,446,276) = 8986008 / 2

LCM(73,446,276) = 4493004


Lets's calculate GCF of 959,935,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4493004/1

Therefore the LCM of Fractions 73/959,446/935,276/971 is 4493004

Greatest Common Factor of 959,935,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,935,971 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 959,935,971 . The biggest common factor number is the GCF number.
So the greatest common factor 959,935,971 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/959, 446/935, 276/971

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 73/959, 446/935, 276/971?

Answer: LCM of Numerators as per given numbers 73/959, 446/935, 276/971 is

LCM of Numerators i.e. for 73,446,276 is 4493004

GCF of denominators i.e. for 959,935,971 is 1.

Thus, LCM of Fractions is 4493004.Finally, LCM of Fractions for 73/959, 446/935, 276/971 is 4493004.