Least Common Multiple of 123/91, 775/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 123/91, 775/526 quickly i.e. 95325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/91, 775/526 is 95325.

LCM(123/91, 775/526) = 95325

LCM of 123/91, 775/526

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 123/91,775/526

Given numbers are 123/91,775/526

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 123,775

Least Common Multiple of Numerators i.e. LCM of 123,775 is 95325.

GCF of Denominators means GCF of 91,526 as per the given fractions.

GCF of 91,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,775

LCM of Fractions 123/91,775/526 is 95325

Given numbers has no common factors except 1. So, there LCM is their product i.e 95325

Least Common Multiple of 123,775 with GCF Formula

Least Common Multiple of 123,775 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 123,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,775) = 1

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

GCF(123,775) x common factors =1 x 1 = 1

LCM(123,775) = ( 123 × 775 ) / 1

LCM(123,775) = 95325 / 1

LCM(123,775) = 95325


Lets's calculate GCF of 91,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95325/1

Therefore the LCM of Fractions 123/91,775/526 is 95325

Greatest Common Factor of 91,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,526 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 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 91,526 . The biggest common factor number is the GCF number.
So the greatest common factor 91,526 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 123/91, 775/526

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 123/91, 775/526?

Answer: LCM of Numerators as per given numbers 123/91, 775/526 is

LCM of Numerators i.e. for 123,775 is 95325

GCF of denominators i.e. for 91,526 is 1.

Thus, LCM of Fractions is 95325.Finally, LCM of Fractions for 123/91, 775/526 is 95325.