Least Common Multiple of 260/70, 1167/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/70, 1167/912 quickly i.e. 151710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/70, 1167/912 is 151710.

LCM(260/70, 1167/912) = 151710

LCM of 260/70, 1167/912

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 260/70,1167/912

Given numbers are 260/70,1167/912

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 260,1167

Least Common Multiple of Numerators i.e. LCM of 260,1167 is 303420.

GCF of Denominators means GCF of 70,912 as per the given fractions.

GCF of 70,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,1167

LCM of Fractions 260/70,1167/912 is 151710

Given numbers has no common factors except 1. So, there LCM is their product i.e 303420

Least Common Multiple of 260,1167 with GCF Formula

Least Common Multiple of 260,1167 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 260,1167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,1167) = 1

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

GCF(260,1167) x common factors =1 x 1 = 1

LCM(260,1167) = ( 260 × 1167 ) / 1

LCM(260,1167) = 303420 / 1

LCM(260,1167) = 303420


Lets's calculate GCF of 70,912

2 70, 912
35, 456

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303420/2

Therefore the LCM of Fractions 260/70,1167/912 is 151710

Greatest Common Factor of 70,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,912 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 70,912 . The biggest common factor number is the GCF number.
So the greatest common factor 70,912 is 2.


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 260/70, 1167/912

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 260/70, 1167/912?

Answer: LCM of Numerators as per given numbers 260/70, 1167/912 is

LCM of Numerators i.e. for 260,1167 is 303420

GCF of denominators i.e. for 70,912 is 2.

Thus, LCM of Fractions is 151710.Finally, LCM of Fractions for 260/70, 1167/912 is 151710.