Least Common Multiple of 646/774, 4137/9009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/774, 4137/9009 quickly i.e. 2672502/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/774, 4137/9009 is 2672502/9.

LCM(646/774, 4137/9009) = 2672502/9

LCM of 646/774, 4137/9009

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 646/774,4137/9009

Given numbers are 646/774,4137/9009

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 646,4137

Least Common Multiple of Numerators i.e. LCM of 646,4137 is 2672502.

GCF of Denominators means GCF of 774,9009 as per the given fractions.

GCF of 774,9009 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,4137

LCM of Fractions 646/774,4137/9009 is 2672502/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 2672502

Least Common Multiple of 646,4137 with GCF Formula

Least Common Multiple of 646,4137 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 646,4137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,4137) = 1

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

GCF(646,4137) x common factors =1 x 1 = 1

LCM(646,4137) = ( 646 × 4137 ) / 1

LCM(646,4137) = 2672502 / 1

LCM(646,4137) = 2672502


Lets's calculate GCF of 774,9009

3 774, 9009
3 258, 3003
86, 1001

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2672502/9

Therefore the LCM of Fractions 646/774,4137/9009 is 2672502/9

Greatest Common Factor of 774,9009 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,9009 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 9009

List of positive integer factors of 9009 that divides 9009 without a remainder.

1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009

Greatest Common Factor

We found the factors 774,9009 . The biggest common factor number is the GCF number.
So the greatest common factor 774,9009 is 9.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 646/774, 4137/9009

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 646/774, 4137/9009?

Answer: LCM of Numerators as per given numbers 646/774, 4137/9009 is

LCM of Numerators i.e. for 646,4137 is 2672502

GCF of denominators i.e. for 774,9009 is 9.

Thus, LCM of Fractions is 2672502/9.Finally, LCM of Fractions for 646/774, 4137/9009 is 2672502/9.