Least Common Multiple of 156/768, 2791/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/768, 2791/690 quickly i.e. 72566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/768, 2791/690 is 72566.

LCM(156/768, 2791/690) = 72566

LCM of 156/768, 2791/690

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 156/768,2791/690

Given numbers are 156/768,2791/690

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 156,2791

Least Common Multiple of Numerators i.e. LCM of 156,2791 is 435396.

GCF of Denominators means GCF of 768,690 as per the given fractions.

GCF of 768,690 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,2791

LCM of Fractions 156/768,2791/690 is 72566

Given numbers has no common factors except 1. So, there LCM is their product i.e 435396

Least Common Multiple of 156,2791 with GCF Formula

Least Common Multiple of 156,2791 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 156,2791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,2791) = 1

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

GCF(156,2791) x common factors =1 x 1 = 1

LCM(156,2791) = ( 156 × 2791 ) / 1

LCM(156,2791) = 435396 / 1

LCM(156,2791) = 435396


Lets's calculate GCF of 768,690

2 768, 690
3 384, 345
128, 115

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435396/6

Therefore the LCM of Fractions 156/768,2791/690 is 72566

Greatest Common Factor of 768,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,690 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 768,690 . The biggest common factor number is the GCF number.
So the greatest common factor 768,690 is 6.


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 156/768, 2791/690

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 156/768, 2791/690?

Answer: LCM of Numerators as per given numbers 156/768, 2791/690 is

LCM of Numerators i.e. for 156,2791 is 435396

GCF of denominators i.e. for 768,690 is 6.

Thus, LCM of Fractions is 72566.Finally, LCM of Fractions for 156/768, 2791/690 is 72566.