Least Common Multiple of 21/687, 494/949, 254/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/687, 494/949, 254/781 quickly i.e. 1317498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/687, 494/949, 254/781 is 1317498.

LCM(21/687, 494/949, 254/781) = 1317498

LCM of 21/687, 494/949, 254/781

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 21/687,494/949,254/781

Given numbers are 21/687,494/949,254/781

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 21,494,254

Least Common Multiple of Numerators i.e. LCM of 21,494,254 is 1317498.

GCF of Denominators means GCF of 687,949,781 as per the given fractions.

GCF of 687,949,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,494,254

LCM of Fractions 21/687,494/949,254/781 is 1317498

2 21, 494, 254
21, 247, 127

∴ So the LCM of the given numbers is 2 x 21 x 247 x 127 = 1317498

Least Common Multiple of 21,494,254 with GCF Formula

Least Common Multiple of 21,494,254 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 21,494,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,494,254) = 1

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

GCF(21,494,254) x common factors =1 x 2 = 2

LCM(21,494,254) = ( 21 × 494 × 254 ) / 2

LCM(21,494,254) = 2634996 / 2

LCM(21,494,254) = 1317498


Lets's calculate GCF of 687,949,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1317498/1

Therefore the LCM of Fractions 21/687,494/949,254/781 is 1317498

Greatest Common Factor of 687,949,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,949,781 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 687,949,781 . The biggest common factor number is the GCF number.
So the greatest common factor 687,949,781 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 21/687, 494/949, 254/781

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 21/687, 494/949, 254/781?

Answer: LCM of Numerators as per given numbers 21/687, 494/949, 254/781 is

LCM of Numerators i.e. for 21,494,254 is 1317498

GCF of denominators i.e. for 687,949,781 is 1.

Thus, LCM of Fractions is 1317498.Finally, LCM of Fractions for 21/687, 494/949, 254/781 is 1317498.