Least Common Multiple of 8067/292, 1642/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8067/292, 1642/356 quickly i.e. 13246014/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8067/292, 1642/356 is 13246014/4.

LCM(8067/292, 1642/356) = 13246014/4

LCM of 8067/292, 1642/356

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 8067/292,1642/356

Given numbers are 8067/292,1642/356

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 8067,1642

Least Common Multiple of Numerators i.e. LCM of 8067,1642 is 13246014.

GCF of Denominators means GCF of 292,356 as per the given fractions.

GCF of 292,356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8067,1642

LCM of Fractions 8067/292,1642/356 is 13246014/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 13246014

Least Common Multiple of 8067,1642 with GCF Formula

Least Common Multiple of 8067,1642 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 8067,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8067,1642) = 1

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

GCF(8067,1642) x common factors =1 x 1 = 1

LCM(8067,1642) = ( 8067 × 1642 ) / 1

LCM(8067,1642) = 13246014 / 1

LCM(8067,1642) = 13246014


Lets's calculate GCF of 292,356

2 292, 356
2 146, 178
73, 89

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13246014/4

Therefore the LCM of Fractions 8067/292,1642/356 is 13246014/4

Greatest Common Factor of 292,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,356 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 292,356 . The biggest common factor number is the GCF number.
So the greatest common factor 292,356 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8067/292, 1642/356

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 8067/292, 1642/356?

Answer: LCM of Numerators as per given numbers 8067/292, 1642/356 is

LCM of Numerators i.e. for 8067,1642 is 13246014

GCF of denominators i.e. for 292,356 is 4.

Thus, LCM of Fractions is 13246014/4.Finally, LCM of Fractions for 8067/292, 1642/356 is 13246014/4.