Least Common Multiple of 982/10, 978/4013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/10, 978/4013 quickly i.e. 480198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/10, 978/4013 is 480198.

LCM(982/10, 978/4013) = 480198

LCM of 982/10, 978/4013

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 982/10,978/4013

Given numbers are 982/10,978/4013

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 982,978

Least Common Multiple of Numerators i.e. LCM of 982,978 is 480198.

GCF of Denominators means GCF of 10,4013 as per the given fractions.

GCF of 10,4013 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,978

LCM of Fractions 982/10,978/4013 is 480198

2 982, 978
491, 489

∴ So the LCM of the given numbers is 2 x 491 x 489 = 480198

Least Common Multiple of 982,978 with GCF Formula

Least Common Multiple of 982,978 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 982,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,978) = 2

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

GCF(982,978) x common factors =2 x 1 = 2

LCM(982,978) = ( 982 × 978 ) / 2

LCM(982,978) = 960396 / 2

LCM(982,978) = 480198


Lets's calculate GCF of 10,4013

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480198/1

Therefore the LCM of Fractions 982/10,978/4013 is 480198

Greatest Common Factor of 10,4013 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,4013 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 4013

List of positive integer factors of 4013 that divides 4013 without a remainder.

1,4013

Greatest Common Factor

We found the factors 10,4013 . The biggest common factor number is the GCF number.
So the greatest common factor 10,4013 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 982/10, 978/4013

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 982/10, 978/4013?

Answer: LCM of Numerators as per given numbers 982/10, 978/4013 is

LCM of Numerators i.e. for 982,978 is 480198

GCF of denominators i.e. for 10,4013 is 1.

Thus, LCM of Fractions is 480198.Finally, LCM of Fractions for 982/10, 978/4013 is 480198.