Least Common Multiple of 123/127, 120/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/127, 120/408 quickly i.e. 4920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/127, 120/408 is 4920.

LCM(123/127, 120/408) = 4920

LCM of 123/127, 120/408

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 123/127,120/408

Given numbers are 123/127,120/408

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 123,120

Least Common Multiple of Numerators i.e. LCM of 123,120 is 4920.

GCF of Denominators means GCF of 127,408 as per the given fractions.

GCF of 127,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,120

LCM of Fractions 123/127,120/408 is 4920

3 123, 120
41, 40

∴ So the LCM of the given numbers is 3 x 41 x 40 = 4920

Least Common Multiple of 123,120 with GCF Formula

Least Common Multiple of 123,120 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 123,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,120) = 3

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

GCF(123,120) x common factors =3 x 1 = 3

LCM(123,120) = ( 123 × 120 ) / 3

LCM(123,120) = 14760 / 3

LCM(123,120) = 4920


Lets's calculate GCF of 127,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4920/1

Therefore the LCM of Fractions 123/127,120/408 is 4920

Greatest Common Factor of 127,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,408 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 127,408 . The biggest common factor number is the GCF number.
So the greatest common factor 127,408 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 123/127, 120/408

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 123/127, 120/408?

Answer: LCM of Numerators as per given numbers 123/127, 120/408 is

LCM of Numerators i.e. for 123,120 is 4920

GCF of denominators i.e. for 127,408 is 1.

Thus, LCM of Fractions is 4920.Finally, LCM of Fractions for 123/127, 120/408 is 4920.