Least Common Multiple of 82/119, 3612/3978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/119, 3612/3978 quickly i.e. 148092/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/119, 3612/3978 is 148092/17.

LCM(82/119, 3612/3978) = 148092/17

LCM of 82/119, 3612/3978

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 82/119,3612/3978

Given numbers are 82/119,3612/3978

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 82,3612

Least Common Multiple of Numerators i.e. LCM of 82,3612 is 148092.

GCF of Denominators means GCF of 119,3978 as per the given fractions.

GCF of 119,3978 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,3612

LCM of Fractions 82/119,3612/3978 is 148092/17

2 82, 3612
41, 1806

∴ So the LCM of the given numbers is 2 x 41 x 1806 = 148092

Least Common Multiple of 82,3612 with GCF Formula

Least Common Multiple of 82,3612 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 82,3612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,3612) = 2

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

GCF(82,3612) x common factors =2 x 1 = 2

LCM(82,3612) = ( 82 × 3612 ) / 2

LCM(82,3612) = 296184 / 2

LCM(82,3612) = 148092


Lets's calculate GCF of 119,3978

17 119, 3978
7, 234

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148092/17

Therefore the LCM of Fractions 82/119,3612/3978 is 148092/17

Greatest Common Factor of 119,3978 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,3978 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Greatest Common Factor

We found the factors 119,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 119,3978 is 17.


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 82/119, 3612/3978

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 82/119, 3612/3978?

Answer: LCM of Numerators as per given numbers 82/119, 3612/3978 is

LCM of Numerators i.e. for 82,3612 is 148092

GCF of denominators i.e. for 119,3978 is 17.

Thus, LCM of Fractions is 148092/17.Finally, LCM of Fractions for 82/119, 3612/3978 is 148092/17.