Least Common Multiple of 987/396, 930/766, 169/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/396, 930/766, 169/739 quickly i.e. 51708930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/396, 930/766, 169/739 is 51708930.

LCM(987/396, 930/766, 169/739) = 51708930

LCM of 987/396, 930/766, 169/739

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 987/396,930/766,169/739

Given numbers are 987/396,930/766,169/739

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 987,930,169

Least Common Multiple of Numerators i.e. LCM of 987,930,169 is 51708930.

GCF of Denominators means GCF of 396,766,739 as per the given fractions.

GCF of 396,766,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,930,169

LCM of Fractions 987/396,930/766,169/739 is 51708930

3 987, 930, 169
329, 310, 169

∴ So the LCM of the given numbers is 3 x 329 x 310 x 169 = 51708930

Least Common Multiple of 987,930,169 with GCF Formula

Least Common Multiple of 987,930,169 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 987,930,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,930,169) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(987,930,169) x common factors =1 x 3 = 3

LCM(987,930,169) = ( 987 × 930 × 169 ) / 3

LCM(987,930,169) = 155126790 / 3

LCM(987,930,169) = 51708930


Lets's calculate GCF of 396,766,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51708930/1

Therefore the LCM of Fractions 987/396,930/766,169/739 is 51708930

Greatest Common Factor of 396,766,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,766,739 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 396,766,739 . The biggest common factor number is the GCF number.
So the greatest common factor 396,766,739 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 987/396, 930/766, 169/739

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 987/396, 930/766, 169/739?

Answer: LCM of Numerators as per given numbers 987/396, 930/766, 169/739 is

LCM of Numerators i.e. for 987,930,169 is 51708930

GCF of denominators i.e. for 396,766,739 is 1.

Thus, LCM of Fractions is 51708930.Finally, LCM of Fractions for 987/396, 930/766, 169/739 is 51708930.