Least Common Multiple of 156/91, 1234/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/91, 1234/762 quickly i.e. 96252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/91, 1234/762 is 96252.

LCM(156/91, 1234/762) = 96252

LCM of 156/91, 1234/762

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 156/91,1234/762

Given numbers are 156/91,1234/762

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 156,1234

Least Common Multiple of Numerators i.e. LCM of 156,1234 is 96252.

GCF of Denominators means GCF of 91,762 as per the given fractions.

GCF of 91,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,1234

LCM of Fractions 156/91,1234/762 is 96252

2 156, 1234
78, 617

∴ So the LCM of the given numbers is 2 x 78 x 617 = 96252

Least Common Multiple of 156,1234 with GCF Formula

Least Common Multiple of 156,1234 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 156,1234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,1234) = 2

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

GCF(156,1234) x common factors =2 x 1 = 2

LCM(156,1234) = ( 156 × 1234 ) / 2

LCM(156,1234) = 192504 / 2

LCM(156,1234) = 96252


Lets's calculate GCF of 91,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96252/1

Therefore the LCM of Fractions 156/91,1234/762 is 96252

Greatest Common Factor of 91,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,762 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 91,762 . The biggest common factor number is the GCF number.
So the greatest common factor 91,762 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 156/91, 1234/762

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 156/91, 1234/762?

Answer: LCM of Numerators as per given numbers 156/91, 1234/762 is

LCM of Numerators i.e. for 156,1234 is 96252

GCF of denominators i.e. for 91,762 is 1.

Thus, LCM of Fractions is 96252.Finally, LCM of Fractions for 156/91, 1234/762 is 96252.