Least Common Multiple of 123/89, 311/20, 736/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/89, 311/20, 736/761 quickly i.e. 28154208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/89, 311/20, 736/761 is 28154208.

LCM(123/89, 311/20, 736/761) = 28154208

LCM of 123/89, 311/20, 736/761

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 123/89,311/20,736/761

Given numbers are 123/89,311/20,736/761

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 123,311,736

Least Common Multiple of Numerators i.e. LCM of 123,311,736 is 28154208.

GCF of Denominators means GCF of 89,20,761 as per the given fractions.

GCF of 89,20,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,311,736

LCM of Fractions 123/89,311/20,736/761 is 28154208

Given numbers has no common factors except 1. So, there LCM is their product i.e 28154208

Least Common Multiple of 123,311,736 with GCF Formula

Least Common Multiple of 123,311,736 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 123,311,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,311,736) = 1

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

GCF(123,311,736) x common factors =1 x 1 = 1

LCM(123,311,736) = ( 123 × 311 × 736 ) / 1

LCM(123,311,736) = 28154208 / 1

LCM(123,311,736) = 28154208


Lets's calculate GCF of 89,20,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28154208/1

Therefore the LCM of Fractions 123/89,311/20,736/761 is 28154208

Greatest Common Factor of 89,20,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,20,761 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 89,20,761 . The biggest common factor number is the GCF number.
So the greatest common factor 89,20,761 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 123/89, 311/20, 736/761

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 123/89, 311/20, 736/761?

Answer: LCM of Numerators as per given numbers 123/89, 311/20, 736/761 is

LCM of Numerators i.e. for 123,311,736 is 28154208

GCF of denominators i.e. for 89,20,761 is 1.

Thus, LCM of Fractions is 28154208.Finally, LCM of Fractions for 123/89, 311/20, 736/761 is 28154208.