Least Common Multiple of 8162/841, 4632/6185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8162/841, 4632/6185 quickly i.e. 18903192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8162/841, 4632/6185 is 18903192.

LCM(8162/841, 4632/6185) = 18903192

LCM of 8162/841, 4632/6185

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 8162/841,4632/6185

Given numbers are 8162/841,4632/6185

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 8162,4632

Least Common Multiple of Numerators i.e. LCM of 8162,4632 is 18903192.

GCF of Denominators means GCF of 841,6185 as per the given fractions.

GCF of 841,6185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8162,4632

LCM of Fractions 8162/841,4632/6185 is 18903192

2 8162, 4632
4081, 2316

∴ So the LCM of the given numbers is 2 x 4081 x 2316 = 18903192

Least Common Multiple of 8162,4632 with GCF Formula

Least Common Multiple of 8162,4632 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 8162,4632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8162,4632) = 2

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

GCF(8162,4632) x common factors =2 x 1 = 2

LCM(8162,4632) = ( 8162 × 4632 ) / 2

LCM(8162,4632) = 37806384 / 2

LCM(8162,4632) = 18903192


Lets's calculate GCF of 841,6185

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18903192/1

Therefore the LCM of Fractions 8162/841,4632/6185 is 18903192

Greatest Common Factor of 841,6185 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,6185 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 6185

List of positive integer factors of 6185 that divides 6185 without a remainder.

1,5,1237,6185

Greatest Common Factor

We found the factors 841,6185 . The biggest common factor number is the GCF number.
So the greatest common factor 841,6185 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8162/841, 4632/6185

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 8162/841, 4632/6185?

Answer: LCM of Numerators as per given numbers 8162/841, 4632/6185 is

LCM of Numerators i.e. for 8162,4632 is 18903192

GCF of denominators i.e. for 841,6185 is 1.

Thus, LCM of Fractions is 18903192.Finally, LCM of Fractions for 8162/841, 4632/6185 is 18903192.