Least Common Multiple of 209/892, 4555/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 209/892, 4555/636 quickly i.e. 951995/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/892, 4555/636 is 951995/4.

LCM(209/892, 4555/636) = 951995/4

LCM of 209/892, 4555/636

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 209/892,4555/636

Given numbers are 209/892,4555/636

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 209,4555

Least Common Multiple of Numerators i.e. LCM of 209,4555 is 951995.

GCF of Denominators means GCF of 892,636 as per the given fractions.

GCF of 892,636 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,4555

LCM of Fractions 209/892,4555/636 is 951995/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 951995

Least Common Multiple of 209,4555 with GCF Formula

Least Common Multiple of 209,4555 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 209,4555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,4555) = 1

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

GCF(209,4555) x common factors =1 x 1 = 1

LCM(209,4555) = ( 209 × 4555 ) / 1

LCM(209,4555) = 951995 / 1

LCM(209,4555) = 951995


Lets's calculate GCF of 892,636

2 892, 636
2 446, 318
223, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 951995/4

Therefore the LCM of Fractions 209/892,4555/636 is 951995/4

Greatest Common Factor of 892,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,636 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 892,636 . The biggest common factor number is the GCF number.
So the greatest common factor 892,636 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 209/892, 4555/636

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 209/892, 4555/636?

Answer: LCM of Numerators as per given numbers 209/892, 4555/636 is

LCM of Numerators i.e. for 209,4555 is 951995

GCF of denominators i.e. for 892,636 is 4.

Thus, LCM of Fractions is 951995/4.Finally, LCM of Fractions for 209/892, 4555/636 is 951995/4.