Least Common Multiple of 330/961, 107/932, 766/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 330/961, 107/932, 766/799 quickly i.e. 13523730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/961, 107/932, 766/799 is 13523730.

LCM(330/961, 107/932, 766/799) = 13523730

LCM of 330/961, 107/932, 766/799

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 330/961,107/932,766/799

Given numbers are 330/961,107/932,766/799

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 330,107,766

Least Common Multiple of Numerators i.e. LCM of 330,107,766 is 13523730.

GCF of Denominators means GCF of 961,932,799 as per the given fractions.

GCF of 961,932,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,107,766

LCM of Fractions 330/961,107/932,766/799 is 13523730

2 330, 107, 766
165, 107, 383

∴ So the LCM of the given numbers is 2 x 165 x 107 x 383 = 13523730

Least Common Multiple of 330,107,766 with GCF Formula

Least Common Multiple of 330,107,766 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 330,107,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,107,766) = 1

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

GCF(330,107,766) x common factors =1 x 2 = 2

LCM(330,107,766) = ( 330 × 107 × 766 ) / 2

LCM(330,107,766) = 27047460 / 2

LCM(330,107,766) = 13523730


Lets's calculate GCF of 961,932,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13523730/1

Therefore the LCM of Fractions 330/961,107/932,766/799 is 13523730

Greatest Common Factor of 961,932,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,932,799 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 961,932,799 . The biggest common factor number is the GCF number.
So the greatest common factor 961,932,799 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 330/961, 107/932, 766/799

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 330/961, 107/932, 766/799?

Answer: LCM of Numerators as per given numbers 330/961, 107/932, 766/799 is

LCM of Numerators i.e. for 330,107,766 is 13523730

GCF of denominators i.e. for 961,932,799 is 1.

Thus, LCM of Fractions is 13523730.Finally, LCM of Fractions for 330/961, 107/932, 766/799 is 13523730.