Least Common Multiple of 401/42, 276/20, 298/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/42, 276/20, 298/687 quickly i.e. 16490724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/42, 276/20, 298/687 is 16490724.

LCM(401/42, 276/20, 298/687) = 16490724

LCM of 401/42, 276/20, 298/687

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 401/42,276/20,298/687

Given numbers are 401/42,276/20,298/687

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 401,276,298

Least Common Multiple of Numerators i.e. LCM of 401,276,298 is 16490724.

GCF of Denominators means GCF of 42,20,687 as per the given fractions.

GCF of 42,20,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,276,298

LCM of Fractions 401/42,276/20,298/687 is 16490724

2 401, 276, 298
401, 138, 149

∴ So the LCM of the given numbers is 2 x 401 x 138 x 149 = 16490724

Least Common Multiple of 401,276,298 with GCF Formula

Least Common Multiple of 401,276,298 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 401,276,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,276,298) = 1

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

GCF(401,276,298) x common factors =1 x 2 = 2

LCM(401,276,298) = ( 401 × 276 × 298 ) / 2

LCM(401,276,298) = 32981448 / 2

LCM(401,276,298) = 16490724


Lets's calculate GCF of 42,20,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16490724/1

Therefore the LCM of Fractions 401/42,276/20,298/687 is 16490724

Greatest Common Factor of 42,20,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,20,687 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 687

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

1,3,229,687

Greatest Common Factor

We found the factors 42,20,687 . The biggest common factor number is the GCF number.
So the greatest common factor 42,20,687 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 401/42, 276/20, 298/687

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 401/42, 276/20, 298/687?

Answer: LCM of Numerators as per given numbers 401/42, 276/20, 298/687 is

LCM of Numerators i.e. for 401,276,298 is 16490724

GCF of denominators i.e. for 42,20,687 is 1.

Thus, LCM of Fractions is 16490724.Finally, LCM of Fractions for 401/42, 276/20, 298/687 is 16490724.