Least Common Multiple of 342/82, 6482/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 342/82, 6482/852 quickly i.e. 554211 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, 6482/852 is 554211.

LCM(342/82, 6482/852) = 554211

LCM of 342/82, 6482/852

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 342/82,6482/852

Given numbers are 342/82,6482/852

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 342,6482

Least Common Multiple of Numerators i.e. LCM of 342,6482 is 1108422.

GCF of Denominators means GCF of 82,852 as per the given fractions.

GCF of 82,852 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,6482

LCM of Fractions 342/82,6482/852 is 554211

2 342, 6482
171, 3241

∴ So the LCM of the given numbers is 2 x 171 x 3241 = 1108422

Least Common Multiple of 342,6482 with GCF Formula

Least Common Multiple of 342,6482 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 342,6482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,6482) = 2

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

GCF(342,6482) x common factors =2 x 1 = 2

LCM(342,6482) = ( 342 × 6482 ) / 2

LCM(342,6482) = 2216844 / 2

LCM(342,6482) = 1108422


Lets's calculate GCF of 82,852

2 82, 852
41, 426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1108422/2

Therefore the LCM of Fractions 342/82,6482/852 is 554211

Greatest Common Factor of 82,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,852 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 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 82,852 . The biggest common factor number is the GCF number.
So the greatest common factor 82,852 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 342/82, 6482/852

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, 6482/852?

Answer: LCM of Numerators as per given numbers 342/82, 6482/852 is

LCM of Numerators i.e. for 342,6482 is 1108422

GCF of denominators i.e. for 82,852 is 2.

Thus, LCM of Fractions is 554211.Finally, LCM of Fractions for 342/82, 6482/852 is 554211.