Least Common Multiple of 89/36, 84/45, 540/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/36, 84/45, 540/792 quickly i.e. 37380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/36, 84/45, 540/792 is 37380.

LCM(89/36, 84/45, 540/792) = 37380

LCM of 89/36, 84/45, 540/792

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 89/36,84/45,540/792

Given numbers are 89/36,84/45,540/792

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 89,84,540

Least Common Multiple of Numerators i.e. LCM of 89,84,540 is 336420.

GCF of Denominators means GCF of 36,45,792 as per the given fractions.

GCF of 36,45,792 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,84,540

LCM of Fractions 89/36,84/45,540/792 is 37380

2 89, 84, 540
2 89, 42, 270
3 89, 21, 135
89, 7, 45

∴ So the LCM of the given numbers is 2 x 2 x 3 x 89 x 7 x 45 = 336420

Least Common Multiple of 89,84,540 with GCF Formula

Least Common Multiple of 89,84,540 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 89,84,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,84,540) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(89,84,540) x common factors =1 x 12 = 12

LCM(89,84,540) = ( 89 × 84 × 540 ) / 12

LCM(89,84,540) = 4037040 / 12

LCM(89,84,540) = 336420


Lets's calculate GCF of 36,45,792

3 36, 45, 792
3 12, 15, 264
4, 5, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336420/9

Therefore the LCM of Fractions 89/36,84/45,540/792 is 37380

Greatest Common Factor of 36,45,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,45,792 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 36,45,792 . The biggest common factor number is the GCF number.
So the greatest common factor 36,45,792 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 89/36, 84/45, 540/792

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 89/36, 84/45, 540/792?

Answer: LCM of Numerators as per given numbers 89/36, 84/45, 540/792 is

LCM of Numerators i.e. for 89,84,540 is 336420

GCF of denominators i.e. for 36,45,792 is 9.

Thus, LCM of Fractions is 37380.Finally, LCM of Fractions for 89/36, 84/45, 540/792 is 37380.