Least Common Multiple of 39/84, 56/74, 198/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/84, 56/74, 198/982 quickly i.e. 36036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/84, 56/74, 198/982 is 36036.

LCM(39/84, 56/74, 198/982) = 36036

LCM of 39/84, 56/74, 198/982

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 39/84,56/74,198/982

Given numbers are 39/84,56/74,198/982

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 39,56,198

Least Common Multiple of Numerators i.e. LCM of 39,56,198 is 72072.

GCF of Denominators means GCF of 84,74,982 as per the given fractions.

GCF of 84,74,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,56,198

LCM of Fractions 39/84,56/74,198/982 is 36036

2 39, 56, 198
3 39, 28, 99
13, 28, 33

∴ So the LCM of the given numbers is 2 x 3 x 13 x 28 x 33 = 72072

Least Common Multiple of 39,56,198 with GCF Formula

Least Common Multiple of 39,56,198 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 39,56,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,56,198) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(39,56,198) x common factors =1 x 6 = 6

LCM(39,56,198) = ( 39 × 56 × 198 ) / 6

LCM(39,56,198) = 432432 / 6

LCM(39,56,198) = 72072


Lets's calculate GCF of 84,74,982

2 84, 74, 982
42, 37, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72072/2

Therefore the LCM of Fractions 39/84,56/74,198/982 is 36036

Greatest Common Factor of 84,74,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,74,982 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 84,74,982 . The biggest common factor number is the GCF number.
So the greatest common factor 84,74,982 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 39/84, 56/74, 198/982

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 39/84, 56/74, 198/982?

Answer: LCM of Numerators as per given numbers 39/84, 56/74, 198/982 is

LCM of Numerators i.e. for 39,56,198 is 72072

GCF of denominators i.e. for 84,74,982 is 2.

Thus, LCM of Fractions is 36036.Finally, LCM of Fractions for 39/84, 56/74, 198/982 is 36036.