Least Common Multiple of 417/135, 7974/6920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/135, 7974/6920 quickly i.e. 1108386/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/135, 7974/6920 is 1108386/5.

LCM(417/135, 7974/6920) = 1108386/5

LCM of 417/135, 7974/6920

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 417/135,7974/6920

Given numbers are 417/135,7974/6920

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 417,7974

Least Common Multiple of Numerators i.e. LCM of 417,7974 is 1108386.

GCF of Denominators means GCF of 135,6920 as per the given fractions.

GCF of 135,6920 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,7974

LCM of Fractions 417/135,7974/6920 is 1108386/5

3 417, 7974
139, 2658

∴ So the LCM of the given numbers is 3 x 139 x 2658 = 1108386

Least Common Multiple of 417,7974 with GCF Formula

Least Common Multiple of 417,7974 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 417,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,7974) = 3

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

GCF(417,7974) x common factors =3 x 1 = 3

LCM(417,7974) = ( 417 × 7974 ) / 3

LCM(417,7974) = 3325158 / 3

LCM(417,7974) = 1108386


Lets's calculate GCF of 135,6920

5 135, 6920
27, 1384

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1108386/5

Therefore the LCM of Fractions 417/135,7974/6920 is 1108386/5

Greatest Common Factor of 135,6920 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,6920 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920

Greatest Common Factor

We found the factors 135,6920 . The biggest common factor number is the GCF number.
So the greatest common factor 135,6920 is 5.


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 417/135, 7974/6920

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 417/135, 7974/6920?

Answer: LCM of Numerators as per given numbers 417/135, 7974/6920 is

LCM of Numerators i.e. for 417,7974 is 1108386

GCF of denominators i.e. for 135,6920 is 5.

Thus, LCM of Fractions is 1108386/5.Finally, LCM of Fractions for 417/135, 7974/6920 is 1108386/5.