Least Common Multiple of 171/76, 272/82, 460/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/76, 272/82, 460/689 quickly i.e. 5348880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/76, 272/82, 460/689 is 5348880.

LCM(171/76, 272/82, 460/689) = 5348880

LCM of 171/76, 272/82, 460/689

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 171/76,272/82,460/689

Given numbers are 171/76,272/82,460/689

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 171,272,460

Least Common Multiple of Numerators i.e. LCM of 171,272,460 is 5348880.

GCF of Denominators means GCF of 76,82,689 as per the given fractions.

GCF of 76,82,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,272,460

LCM of Fractions 171/76,272/82,460/689 is 5348880

2 171, 272, 460
2 171, 136, 230
171, 68, 115

∴ So the LCM of the given numbers is 2 x 2 x 171 x 68 x 115 = 5348880

Least Common Multiple of 171,272,460 with GCF Formula

Least Common Multiple of 171,272,460 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 171,272,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,272,460) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(171,272,460) x common factors =1 x 4 = 4

LCM(171,272,460) = ( 171 × 272 × 460 ) / 4

LCM(171,272,460) = 21395520 / 4

LCM(171,272,460) = 5348880


Lets's calculate GCF of 76,82,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5348880/1

Therefore the LCM of Fractions 171/76,272/82,460/689 is 5348880

Greatest Common Factor of 76,82,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,82,689 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 76,82,689 . The biggest common factor number is the GCF number.
So the greatest common factor 76,82,689 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 171/76, 272/82, 460/689

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 171/76, 272/82, 460/689?

Answer: LCM of Numerators as per given numbers 171/76, 272/82, 460/689 is

LCM of Numerators i.e. for 171,272,460 is 5348880

GCF of denominators i.e. for 76,82,689 is 1.

Thus, LCM of Fractions is 5348880.Finally, LCM of Fractions for 171/76, 272/82, 460/689 is 5348880.