Least Common Multiple of 9420/17, 4710/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9420/17, 4710/371 quickly i.e. 9420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9420/17, 4710/371 is 9420.

LCM(9420/17, 4710/371) = 9420

LCM of 9420/17, 4710/371

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 9420/17,4710/371

Given numbers are 9420/17,4710/371

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 9420,4710

Least Common Multiple of Numerators i.e. LCM of 9420,4710 is 9420.

GCF of Denominators means GCF of 17,371 as per the given fractions.

GCF of 17,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9420,4710

LCM of Fractions 9420/17,4710/371 is 9420

2 9420, 4710
3 4710, 2355
5 1570, 785
157 314, 157
2, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 157 x 2 x 1 = 9420

Least Common Multiple of 9420,4710 with GCF Formula

Least Common Multiple of 9420,4710 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 9420,4710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9420,4710) = 4710

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

GCF(9420,4710) x common factors =4710 x 1 = 4710

LCM(9420,4710) = ( 9420 × 4710 ) / 4710

LCM(9420,4710) = 44368200 / 4710

LCM(9420,4710) = 9420


Lets's calculate GCF of 17,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9420/1

Therefore the LCM of Fractions 9420/17,4710/371 is 9420

Greatest Common Factor of 17,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,371 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 17,371 . The biggest common factor number is the GCF number.
So the greatest common factor 17,371 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 9420/17, 4710/371

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 9420/17, 4710/371?

Answer: LCM of Numerators as per given numbers 9420/17, 4710/371 is

LCM of Numerators i.e. for 9420,4710 is 9420

GCF of denominators i.e. for 17,371 is 1.

Thus, LCM of Fractions is 9420.Finally, LCM of Fractions for 9420/17, 4710/371 is 9420.