Least Common Multiple of 644/135, 9075/1074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/135, 9075/1074 quickly i.e. 1948100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/135, 9075/1074 is 1948100.

LCM(644/135, 9075/1074) = 1948100

LCM of 644/135, 9075/1074

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 644/135,9075/1074

Given numbers are 644/135,9075/1074

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 644,9075

Least Common Multiple of Numerators i.e. LCM of 644,9075 is 5844300.

GCF of Denominators means GCF of 135,1074 as per the given fractions.

GCF of 135,1074 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,9075

LCM of Fractions 644/135,9075/1074 is 1948100

Given numbers has no common factors except 1. So, there LCM is their product i.e 5844300

Least Common Multiple of 644,9075 with GCF Formula

Least Common Multiple of 644,9075 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 644,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,9075) = 1

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

GCF(644,9075) x common factors =1 x 1 = 1

LCM(644,9075) = ( 644 × 9075 ) / 1

LCM(644,9075) = 5844300 / 1

LCM(644,9075) = 5844300


Lets's calculate GCF of 135,1074

3 135, 1074
45, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5844300/3

Therefore the LCM of Fractions 644/135,9075/1074 is 1948100

Greatest Common Factor of 135,1074 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,1074 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 1074

List of positive integer factors of 1074 that divides 1074 without a remainder.

1,2,3,6,179,358,537,1074

Greatest Common Factor

We found the factors 135,1074 . The biggest common factor number is the GCF number.
So the greatest common factor 135,1074 is 3.


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 644/135, 9075/1074

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 644/135, 9075/1074?

Answer: LCM of Numerators as per given numbers 644/135, 9075/1074 is

LCM of Numerators i.e. for 644,9075 is 5844300

GCF of denominators i.e. for 135,1074 is 3.

Thus, LCM of Fractions is 1948100.Finally, LCM of Fractions for 644/135, 9075/1074 is 1948100.