Least Common Multiple of 135/37, 825/64, 649/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/37, 825/64, 649/773 quickly i.e. 438075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/37, 825/64, 649/773 is 438075.

LCM(135/37, 825/64, 649/773) = 438075

LCM of 135/37, 825/64, 649/773

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 135/37,825/64,649/773

Given numbers are 135/37,825/64,649/773

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 135,825,649

Least Common Multiple of Numerators i.e. LCM of 135,825,649 is 438075.

GCF of Denominators means GCF of 37,64,773 as per the given fractions.

GCF of 37,64,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,825,649

LCM of Fractions 135/37,825/64,649/773 is 438075

3 135, 825, 649
5 45, 275, 649
11 9, 55, 649
9, 5, 59

∴ So the LCM of the given numbers is 3 x 5 x 11 x 9 x 5 x 59 = 438075

Least Common Multiple of 135,825,649 with GCF Formula

Least Common Multiple of 135,825,649 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 135,825,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,825,649) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(135,825,649) x common factors =1 x 165 = 165

LCM(135,825,649) = ( 135 × 825 × 649 ) / 165

LCM(135,825,649) = 72282375 / 165

LCM(135,825,649) = 438075


Lets's calculate GCF of 37,64,773

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438075/1

Therefore the LCM of Fractions 135/37,825/64,649/773 is 438075

Greatest Common Factor of 37,64,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,64,773 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 37,64,773 . The biggest common factor number is the GCF number.
So the greatest common factor 37,64,773 is 1.


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 135/37, 825/64, 649/773

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 135/37, 825/64, 649/773?

Answer: LCM of Numerators as per given numbers 135/37, 825/64, 649/773 is

LCM of Numerators i.e. for 135,825,649 is 438075

GCF of denominators i.e. for 37,64,773 is 1.

Thus, LCM of Fractions is 438075.Finally, LCM of Fractions for 135/37, 825/64, 649/773 is 438075.