Least Common Multiple of 80/875, 31/357, 299/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/875, 31/357, 299/774 quickly i.e. 741520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/875, 31/357, 299/774 is 741520.

LCM(80/875, 31/357, 299/774) = 741520

LCM of 80/875, 31/357, 299/774

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 80/875,31/357,299/774

Given numbers are 80/875,31/357,299/774

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 80,31,299

Least Common Multiple of Numerators i.e. LCM of 80,31,299 is 741520.

GCF of Denominators means GCF of 875,357,774 as per the given fractions.

GCF of 875,357,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,31,299

LCM of Fractions 80/875,31/357,299/774 is 741520

Given numbers has no common factors except 1. So, there LCM is their product i.e 741520

Least Common Multiple of 80,31,299 with GCF Formula

Least Common Multiple of 80,31,299 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 80,31,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,31,299) = 1

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

GCF(80,31,299) x common factors =1 x 1 = 1

LCM(80,31,299) = ( 80 × 31 × 299 ) / 1

LCM(80,31,299) = 741520 / 1

LCM(80,31,299) = 741520


Lets's calculate GCF of 875,357,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 741520/1

Therefore the LCM of Fractions 80/875,31/357,299/774 is 741520

Greatest Common Factor of 875,357,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,357,774 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 875,357,774 . The biggest common factor number is the GCF number.
So the greatest common factor 875,357,774 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 80/875, 31/357, 299/774

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 80/875, 31/357, 299/774?

Answer: LCM of Numerators as per given numbers 80/875, 31/357, 299/774 is

LCM of Numerators i.e. for 80,31,299 is 741520

GCF of denominators i.e. for 875,357,774 is 1.

Thus, LCM of Fractions is 741520.Finally, LCM of Fractions for 80/875, 31/357, 299/774 is 741520.