Least Common Multiple of 9489/37, 5882/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9489/37, 5882/701 quickly i.e. 55814298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9489/37, 5882/701 is 55814298.

LCM(9489/37, 5882/701) = 55814298

LCM of 9489/37, 5882/701

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 9489/37,5882/701

Given numbers are 9489/37,5882/701

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 9489,5882

Least Common Multiple of Numerators i.e. LCM of 9489,5882 is 55814298.

GCF of Denominators means GCF of 37,701 as per the given fractions.

GCF of 37,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9489,5882

LCM of Fractions 9489/37,5882/701 is 55814298

Given numbers has no common factors except 1. So, there LCM is their product i.e 55814298

Least Common Multiple of 9489,5882 with GCF Formula

Least Common Multiple of 9489,5882 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 9489,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9489,5882) = 1

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

GCF(9489,5882) x common factors =1 x 1 = 1

LCM(9489,5882) = ( 9489 × 5882 ) / 1

LCM(9489,5882) = 55814298 / 1

LCM(9489,5882) = 55814298


Lets's calculate GCF of 37,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55814298/1

Therefore the LCM of Fractions 9489/37,5882/701 is 55814298

Greatest Common Factor of 37,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,701 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 37,701 . The biggest common factor number is the GCF number.
So the greatest common factor 37,701 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 9489/37, 5882/701

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 9489/37, 5882/701?

Answer: LCM of Numerators as per given numbers 9489/37, 5882/701 is

LCM of Numerators i.e. for 9489,5882 is 55814298

GCF of denominators i.e. for 37,701 is 1.

Thus, LCM of Fractions is 55814298.Finally, LCM of Fractions for 9489/37, 5882/701 is 55814298.