Least Common Multiple of 9489/57, 5998/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9489/57, 5998/315 quickly i.e. 18971674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9489/57, 5998/315 is 18971674.

LCM(9489/57, 5998/315) = 18971674

LCM of 9489/57, 5998/315

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 9489/57,5998/315

Given numbers are 9489/57,5998/315

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 9489,5998

Least Common Multiple of Numerators i.e. LCM of 9489,5998 is 56915022.

GCF of Denominators means GCF of 57,315 as per the given fractions.

GCF of 57,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9489,5998

LCM of Fractions 9489/57,5998/315 is 18971674

Given numbers has no common factors except 1. So, there LCM is their product i.e 56915022

Least Common Multiple of 9489,5998 with GCF Formula

Least Common Multiple of 9489,5998 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 9489,5998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9489,5998) = 1

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

GCF(9489,5998) x common factors =1 x 1 = 1

LCM(9489,5998) = ( 9489 × 5998 ) / 1

LCM(9489,5998) = 56915022 / 1

LCM(9489,5998) = 56915022


Lets's calculate GCF of 57,315

3 57, 315
19, 105

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56915022/3

Therefore the LCM of Fractions 9489/57,5998/315 is 18971674

Greatest Common Factor of 57,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,315 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 57,315 . The biggest common factor number is the GCF number.
So the greatest common factor 57,315 is 3.


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 9489/57, 5998/315

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 9489/57, 5998/315?

Answer: LCM of Numerators as per given numbers 9489/57, 5998/315 is

LCM of Numerators i.e. for 9489,5998 is 56915022

GCF of denominators i.e. for 57,315 is 3.

Thus, LCM of Fractions is 18971674.Finally, LCM of Fractions for 9489/57, 5998/315 is 18971674.