Least Common Multiple of 5045/644, 3284/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5045/644, 3284/735 quickly i.e. 16567780/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5045/644, 3284/735 is 16567780/7.

LCM(5045/644, 3284/735) = 16567780/7

LCM of 5045/644, 3284/735

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 5045/644,3284/735

Given numbers are 5045/644,3284/735

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 5045,3284

Least Common Multiple of Numerators i.e. LCM of 5045,3284 is 16567780.

GCF of Denominators means GCF of 644,735 as per the given fractions.

GCF of 644,735 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5045,3284

LCM of Fractions 5045/644,3284/735 is 16567780/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 16567780

Least Common Multiple of 5045,3284 with GCF Formula

Least Common Multiple of 5045,3284 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 5045,3284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5045,3284) = 1

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

GCF(5045,3284) x common factors =1 x 1 = 1

LCM(5045,3284) = ( 5045 × 3284 ) / 1

LCM(5045,3284) = 16567780 / 1

LCM(5045,3284) = 16567780


Lets's calculate GCF of 644,735

7 644, 735
92, 105

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16567780/7

Therefore the LCM of Fractions 5045/644,3284/735 is 16567780/7

Greatest Common Factor of 644,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,735 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 644,735 . The biggest common factor number is the GCF number.
So the greatest common factor 644,735 is 7.


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 5045/644, 3284/735

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 5045/644, 3284/735?

Answer: LCM of Numerators as per given numbers 5045/644, 3284/735 is

LCM of Numerators i.e. for 5045,3284 is 16567780

GCF of denominators i.e. for 644,735 is 7.

Thus, LCM of Fractions is 16567780/7.Finally, LCM of Fractions for 5045/644, 3284/735 is 16567780/7.