Least Common Multiple of 982/39, 524/20, 648/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/39, 524/20, 648/598 quickly i.e. 41680008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/39, 524/20, 648/598 is 41680008.

LCM(982/39, 524/20, 648/598) = 41680008

LCM of 982/39, 524/20, 648/598

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 982/39,524/20,648/598

Given numbers are 982/39,524/20,648/598

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 982,524,648

Least Common Multiple of Numerators i.e. LCM of 982,524,648 is 41680008.

GCF of Denominators means GCF of 39,20,598 as per the given fractions.

GCF of 39,20,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,524,648

LCM of Fractions 982/39,524/20,648/598 is 41680008

2 982, 524, 648
2 491, 262, 324
491, 131, 162

∴ So the LCM of the given numbers is 2 x 2 x 491 x 131 x 162 = 41680008

Least Common Multiple of 982,524,648 with GCF Formula

Least Common Multiple of 982,524,648 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 982,524,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,524,648) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(982,524,648) x common factors =2 x 4 = 8

LCM(982,524,648) = ( 982 × 524 × 648 ) / 8

LCM(982,524,648) = 333440064 / 8

LCM(982,524,648) = 41680008


Lets's calculate GCF of 39,20,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41680008/1

Therefore the LCM of Fractions 982/39,524/20,648/598 is 41680008

Greatest Common Factor of 39,20,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,20,598 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 39,20,598 . The biggest common factor number is the GCF number.
So the greatest common factor 39,20,598 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 982/39, 524/20, 648/598

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 982/39, 524/20, 648/598?

Answer: LCM of Numerators as per given numbers 982/39, 524/20, 648/598 is

LCM of Numerators i.e. for 982,524,648 is 41680008

GCF of denominators i.e. for 39,20,598 is 1.

Thus, LCM of Fractions is 41680008.Finally, LCM of Fractions for 982/39, 524/20, 648/598 is 41680008.