Least Common Multiple of 8709/552, 2102/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8709/552, 2102/242 quickly i.e. 9153159 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8709/552, 2102/242 is 9153159.

LCM(8709/552, 2102/242) = 9153159

LCM of 8709/552, 2102/242

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 8709/552,2102/242

Given numbers are 8709/552,2102/242

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 8709,2102

Least Common Multiple of Numerators i.e. LCM of 8709,2102 is 18306318.

GCF of Denominators means GCF of 552,242 as per the given fractions.

GCF of 552,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8709,2102

LCM of Fractions 8709/552,2102/242 is 9153159

Given numbers has no common factors except 1. So, there LCM is their product i.e 18306318

Least Common Multiple of 8709,2102 with GCF Formula

Least Common Multiple of 8709,2102 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 8709,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8709,2102) = 1

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

GCF(8709,2102) x common factors =1 x 1 = 1

LCM(8709,2102) = ( 8709 × 2102 ) / 1

LCM(8709,2102) = 18306318 / 1

LCM(8709,2102) = 18306318


Lets's calculate GCF of 552,242

2 552, 242
276, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18306318/2

Therefore the LCM of Fractions 8709/552,2102/242 is 9153159

Greatest Common Factor of 552,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,242 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 552,242 . The biggest common factor number is the GCF number.
So the greatest common factor 552,242 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8709/552, 2102/242

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 8709/552, 2102/242?

Answer: LCM of Numerators as per given numbers 8709/552, 2102/242 is

LCM of Numerators i.e. for 8709,2102 is 18306318

GCF of denominators i.e. for 552,242 is 2.

Thus, LCM of Fractions is 9153159.Finally, LCM of Fractions for 8709/552, 2102/242 is 9153159.