Least Common Multiple of 759/27, 922/33, 138/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/27, 922/33, 138/40 quickly i.e. 699798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/27, 922/33, 138/40 is 699798.

LCM(759/27, 922/33, 138/40) = 699798

LCM of 759/27, 922/33, 138/40

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 759/27,922/33,138/40

Given numbers are 759/27,922/33,138/40

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 759,922,138

Least Common Multiple of Numerators i.e. LCM of 759,922,138 is 699798.

GCF of Denominators means GCF of 27,33,40 as per the given fractions.

GCF of 27,33,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,922,138

LCM of Fractions 759/27,922/33,138/40 is 699798

2 759, 922, 138
3 759, 461, 69
23 253, 461, 23
11, 461, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 11 x 461 x 1 = 699798

Least Common Multiple of 759,922,138 with GCF Formula

Least Common Multiple of 759,922,138 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 759,922,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,922,138) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(759,922,138) x common factors =1 x 138 = 138

LCM(759,922,138) = ( 759 × 922 × 138 ) / 138

LCM(759,922,138) = 96572124 / 138

LCM(759,922,138) = 699798


Lets's calculate GCF of 27,33,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699798/1

Therefore the LCM of Fractions 759/27,922/33,138/40 is 699798

Greatest Common Factor of 27,33,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,33,40 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 27,33,40 . The biggest common factor number is the GCF number.
So the greatest common factor 27,33,40 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 759/27, 922/33, 138/40

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 759/27, 922/33, 138/40?

Answer: LCM of Numerators as per given numbers 759/27, 922/33, 138/40 is

LCM of Numerators i.e. for 759,922,138 is 699798

GCF of denominators i.e. for 27,33,40 is 1.

Thus, LCM of Fractions is 699798.Finally, LCM of Fractions for 759/27, 922/33, 138/40 is 699798.