Least Common Multiple of 982/530, 240/374, 647/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/530, 240/374, 647/596 quickly i.e. 38121240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/530, 240/374, 647/596 is 38121240.

LCM(982/530, 240/374, 647/596) = 38121240

LCM of 982/530, 240/374, 647/596

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 982/530,240/374,647/596

Given numbers are 982/530,240/374,647/596

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 982,240,647

Least Common Multiple of Numerators i.e. LCM of 982,240,647 is 76242480.

GCF of Denominators means GCF of 530,374,596 as per the given fractions.

GCF of 530,374,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,240,647

LCM of Fractions 982/530,240/374,647/596 is 38121240

2 982, 240, 647
491, 120, 647

∴ So the LCM of the given numbers is 2 x 491 x 120 x 647 = 76242480

Least Common Multiple of 982,240,647 with GCF Formula

Least Common Multiple of 982,240,647 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 982,240,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,240,647) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(982,240,647) x common factors =1 x 2 = 2

LCM(982,240,647) = ( 982 × 240 × 647 ) / 2

LCM(982,240,647) = 152484960 / 2

LCM(982,240,647) = 76242480


Lets's calculate GCF of 530,374,596

2 530, 374, 596
265, 187, 298

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76242480/2

Therefore the LCM of Fractions 982/530,240/374,647/596 is 38121240

Greatest Common Factor of 530,374,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,374,596 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 530,374,596 . The biggest common factor number is the GCF number.
So the greatest common factor 530,374,596 is 2.


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 982/530, 240/374, 647/596

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 982/530, 240/374, 647/596?

Answer: LCM of Numerators as per given numbers 982/530, 240/374, 647/596 is

LCM of Numerators i.e. for 982,240,647 is 76242480

GCF of denominators i.e. for 530,374,596 is 2.

Thus, LCM of Fractions is 38121240.Finally, LCM of Fractions for 982/530, 240/374, 647/596 is 38121240.