Least Common Multiple of 312/867, 565/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/867, 565/191 quickly i.e. 176280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/867, 565/191 is 176280.

LCM(312/867, 565/191) = 176280

LCM of 312/867, 565/191

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 312/867,565/191

Given numbers are 312/867,565/191

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 312,565

Least Common Multiple of Numerators i.e. LCM of 312,565 is 176280.

GCF of Denominators means GCF of 867,191 as per the given fractions.

GCF of 867,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,565

LCM of Fractions 312/867,565/191 is 176280

Given numbers has no common factors except 1. So, there LCM is their product i.e 176280

Least Common Multiple of 312,565 with GCF Formula

Least Common Multiple of 312,565 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 312,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,565) = 1

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

GCF(312,565) x common factors =1 x 1 = 1

LCM(312,565) = ( 312 × 565 ) / 1

LCM(312,565) = 176280 / 1

LCM(312,565) = 176280


Lets's calculate GCF of 867,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176280/1

Therefore the LCM of Fractions 312/867,565/191 is 176280

Greatest Common Factor of 867,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,191 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 867,191 . The biggest common factor number is the GCF number.
So the greatest common factor 867,191 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 312/867, 565/191

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 312/867, 565/191?

Answer: LCM of Numerators as per given numbers 312/867, 565/191 is

LCM of Numerators i.e. for 312,565 is 176280

GCF of denominators i.e. for 867,191 is 1.

Thus, LCM of Fractions is 176280.Finally, LCM of Fractions for 312/867, 565/191 is 176280.