Least Common Multiple of 342/82, 772/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/82, 772/368 quickly i.e. 66006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/82, 772/368 is 66006.

LCM(342/82, 772/368) = 66006

LCM of 342/82, 772/368

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 342/82,772/368

Given numbers are 342/82,772/368

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 342,772

Least Common Multiple of Numerators i.e. LCM of 342,772 is 132012.

GCF of Denominators means GCF of 82,368 as per the given fractions.

GCF of 82,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,772

LCM of Fractions 342/82,772/368 is 66006

2 342, 772
171, 386

∴ So the LCM of the given numbers is 2 x 171 x 386 = 132012

Least Common Multiple of 342,772 with GCF Formula

Least Common Multiple of 342,772 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 342,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,772) = 2

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

GCF(342,772) x common factors =2 x 1 = 2

LCM(342,772) = ( 342 × 772 ) / 2

LCM(342,772) = 264024 / 2

LCM(342,772) = 132012


Lets's calculate GCF of 82,368

2 82, 368
41, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132012/2

Therefore the LCM of Fractions 342/82,772/368 is 66006

Greatest Common Factor of 82,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,368 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 82,368 . The biggest common factor number is the GCF number.
So the greatest common factor 82,368 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 342/82, 772/368

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 342/82, 772/368?

Answer: LCM of Numerators as per given numbers 342/82, 772/368 is

LCM of Numerators i.e. for 342,772 is 132012

GCF of denominators i.e. for 82,368 is 2.

Thus, LCM of Fractions is 66006.Finally, LCM of Fractions for 342/82, 772/368 is 66006.