Least Common Multiple of 267/940, 8958/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/940, 8958/410 quickly i.e. 797262/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/940, 8958/410 is 797262/10.

LCM(267/940, 8958/410) = 797262/10

LCM of 267/940, 8958/410

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 267/940,8958/410

Given numbers are 267/940,8958/410

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 267,8958

Least Common Multiple of Numerators i.e. LCM of 267,8958 is 797262.

GCF of Denominators means GCF of 940,410 as per the given fractions.

GCF of 940,410 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,8958

LCM of Fractions 267/940,8958/410 is 797262/10

3 267, 8958
89, 2986

∴ So the LCM of the given numbers is 3 x 89 x 2986 = 797262

Least Common Multiple of 267,8958 with GCF Formula

Least Common Multiple of 267,8958 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 267,8958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,8958) = 3

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

GCF(267,8958) x common factors =3 x 1 = 3

LCM(267,8958) = ( 267 × 8958 ) / 3

LCM(267,8958) = 2391786 / 3

LCM(267,8958) = 797262


Lets's calculate GCF of 940,410

2 940, 410
5 470, 205
94, 41

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 797262/10

Therefore the LCM of Fractions 267/940,8958/410 is 797262/10

Greatest Common Factor of 940,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,410 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 940,410 . The biggest common factor number is the GCF number.
So the greatest common factor 940,410 is 10.


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 267/940, 8958/410

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 267/940, 8958/410?

Answer: LCM of Numerators as per given numbers 267/940, 8958/410 is

LCM of Numerators i.e. for 267,8958 is 797262

GCF of denominators i.e. for 940,410 is 10.

Thus, LCM of Fractions is 797262/10.Finally, LCM of Fractions for 267/940, 8958/410 is 797262/10.