Least Common Multiple of 369/847, 5524/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 369/847, 5524/983 quickly i.e. 2038356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/847, 5524/983 is 2038356.

LCM(369/847, 5524/983) = 2038356

LCM of 369/847, 5524/983

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 369/847,5524/983

Given numbers are 369/847,5524/983

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 369,5524

Least Common Multiple of Numerators i.e. LCM of 369,5524 is 2038356.

GCF of Denominators means GCF of 847,983 as per the given fractions.

GCF of 847,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,5524

LCM of Fractions 369/847,5524/983 is 2038356

Given numbers has no common factors except 1. So, there LCM is their product i.e 2038356

Least Common Multiple of 369,5524 with GCF Formula

Least Common Multiple of 369,5524 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 369,5524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,5524) = 1

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

GCF(369,5524) x common factors =1 x 1 = 1

LCM(369,5524) = ( 369 × 5524 ) / 1

LCM(369,5524) = 2038356 / 1

LCM(369,5524) = 2038356


Lets's calculate GCF of 847,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2038356/1

Therefore the LCM of Fractions 369/847,5524/983 is 2038356

Greatest Common Factor of 847,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,983 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 847,983 . The biggest common factor number is the GCF number.
So the greatest common factor 847,983 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 369/847, 5524/983

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 369/847, 5524/983?

Answer: LCM of Numerators as per given numbers 369/847, 5524/983 is

LCM of Numerators i.e. for 369,5524 is 2038356

GCF of denominators i.e. for 847,983 is 1.

Thus, LCM of Fractions is 2038356.Finally, LCM of Fractions for 369/847, 5524/983 is 2038356.