Least Common Multiple of 276/422, 726/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/422, 726/677 quickly i.e. 33396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/422, 726/677 is 33396.

LCM(276/422, 726/677) = 33396

LCM of 276/422, 726/677

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 276/422,726/677

Given numbers are 276/422,726/677

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 276,726

Least Common Multiple of Numerators i.e. LCM of 276,726 is 33396.

GCF of Denominators means GCF of 422,677 as per the given fractions.

GCF of 422,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,726

LCM of Fractions 276/422,726/677 is 33396

2 276, 726
3 138, 363
46, 121

∴ So the LCM of the given numbers is 2 x 3 x 46 x 121 = 33396

Least Common Multiple of 276,726 with GCF Formula

Least Common Multiple of 276,726 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 276,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,726) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(276,726) x common factors =6 x 1 = 6

LCM(276,726) = ( 276 × 726 ) / 6

LCM(276,726) = 200376 / 6

LCM(276,726) = 33396


Lets's calculate GCF of 422,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33396/1

Therefore the LCM of Fractions 276/422,726/677 is 33396

Greatest Common Factor of 422,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,677 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 422,677 . The biggest common factor number is the GCF number.
So the greatest common factor 422,677 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 276/422, 726/677

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 276/422, 726/677?

Answer: LCM of Numerators as per given numbers 276/422, 726/677 is

LCM of Numerators i.e. for 276,726 is 33396

GCF of denominators i.e. for 422,677 is 1.

Thus, LCM of Fractions is 33396.Finally, LCM of Fractions for 276/422, 726/677 is 33396.