Least Common Multiple of 865/494, 780/977, 508/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 865/494, 780/977, 508/921 quickly i.e. 17137380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 865/494, 780/977, 508/921 is 17137380.

LCM(865/494, 780/977, 508/921) = 17137380

LCM of 865/494, 780/977, 508/921

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 865/494,780/977,508/921

Given numbers are 865/494,780/977,508/921

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 865,780,508

Least Common Multiple of Numerators i.e. LCM of 865,780,508 is 17137380.

GCF of Denominators means GCF of 494,977,921 as per the given fractions.

GCF of 494,977,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 865,780,508

LCM of Fractions 865/494,780/977,508/921 is 17137380

2 865, 780, 508
2 865, 390, 254
5 865, 195, 127
173, 39, 127

∴ So the LCM of the given numbers is 2 x 2 x 5 x 173 x 39 x 127 = 17137380

Least Common Multiple of 865,780,508 with GCF Formula

Least Common Multiple of 865,780,508 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 865,780,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,780,508) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(865,780,508) x common factors =1 x 20 = 20

LCM(865,780,508) = ( 865 × 780 × 508 ) / 20

LCM(865,780,508) = 342747600 / 20

LCM(865,780,508) = 17137380


Lets's calculate GCF of 494,977,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17137380/1

Therefore the LCM of Fractions 865/494,780/977,508/921 is 17137380

Greatest Common Factor of 494,977,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,977,921 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 494,977,921 . The biggest common factor number is the GCF number.
So the greatest common factor 494,977,921 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 865/494, 780/977, 508/921

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 865/494, 780/977, 508/921?

Answer: LCM of Numerators as per given numbers 865/494, 780/977, 508/921 is

LCM of Numerators i.e. for 865,780,508 is 17137380

GCF of denominators i.e. for 494,977,921 is 1.

Thus, LCM of Fractions is 17137380.Finally, LCM of Fractions for 865/494, 780/977, 508/921 is 17137380.