Least Common Multiple of 80/267, 56/585, 344/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/267, 56/585, 344/951 quickly i.e. 24080/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/267, 56/585, 344/951 is 24080/3.

LCM(80/267, 56/585, 344/951) = 24080/3

LCM of 80/267, 56/585, 344/951

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 80/267,56/585,344/951

Given numbers are 80/267,56/585,344/951

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 80,56,344

Least Common Multiple of Numerators i.e. LCM of 80,56,344 is 24080.

GCF of Denominators means GCF of 267,585,951 as per the given fractions.

GCF of 267,585,951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,56,344

LCM of Fractions 80/267,56/585,344/951 is 24080/3

2 80, 56, 344
2 40, 28, 172
2 20, 14, 86
10, 7, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 7 x 43 = 24080

Least Common Multiple of 80,56,344 with GCF Formula

Least Common Multiple of 80,56,344 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 80,56,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,56,344) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(80,56,344) x common factors =8 x 8 = 64

LCM(80,56,344) = ( 80 × 56 × 344 ) / 64

LCM(80,56,344) = 1541120 / 64

LCM(80,56,344) = 24080


Lets's calculate GCF of 267,585,951

3 267, 585, 951
89, 195, 317

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24080/3

Therefore the LCM of Fractions 80/267,56/585,344/951 is 24080/3

Greatest Common Factor of 267,585,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,585,951 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 267,585,951 . The biggest common factor number is the GCF number.
So the greatest common factor 267,585,951 is 3.


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 80/267, 56/585, 344/951

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 80/267, 56/585, 344/951?

Answer: LCM of Numerators as per given numbers 80/267, 56/585, 344/951 is

LCM of Numerators i.e. for 80,56,344 is 24080

GCF of denominators i.e. for 267,585,951 is 3.

Thus, LCM of Fractions is 24080/3.Finally, LCM of Fractions for 80/267, 56/585, 344/951 is 24080/3.