Least Common Multiple of 78/89, 22/10, 28/30, 61/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/89, 22/10, 28/30, 61/264 quickly i.e. 732732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/89, 22/10, 28/30, 61/264 is 732732.

LCM(78/89, 22/10, 28/30, 61/264) = 732732

LCM of 78/89, 22/10, 28/30, 61/264

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 78/89,22/10,28/30,61/264

Given numbers are 78/89,22/10,28/30,61/264

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 78,22,28,61

Least Common Multiple of Numerators i.e. LCM of 78,22,28,61 is 732732.

GCF of Denominators means GCF of 89,10,30,264 as per the given fractions.

GCF of 89,10,30,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,22,28,61

LCM of Fractions 78/89,22/10,28/30,61/264 is 732732

2 78, 22, 28, 61
39, 11, 14, 61

∴ So the LCM of the given numbers is 2 x 39 x 11 x 14 x 61 = 732732

Least Common Multiple of 78,22,28,61 with GCF Formula

Least Common Multiple of 78,22,28,61 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 78,22,28,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,22,28,61) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(78,22,28,61) x common factors =1 x 4 = 4

LCM(78,22,28,61) = ( 78 × 22 × 28 × 61 ) / 4

LCM(78,22,28,61) = 2930928 / 4

LCM(78,22,28,61) = 732732


Lets's calculate GCF of 89,10,30,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732732/1

Therefore the LCM of Fractions 78/89,22/10,28/30,61/264 is 732732

Greatest Common Factor of 89,10,30,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,10,30,264 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 89,10,30,264 . The biggest common factor number is the GCF number.
So the greatest common factor 89,10,30,264 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 78/89, 22/10, 28/30, 61/264

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 78/89, 22/10, 28/30, 61/264?

Answer: LCM of Numerators as per given numbers 78/89, 22/10, 28/30, 61/264 is

LCM of Numerators i.e. for 78,22,28,61 is 732732

GCF of denominators i.e. for 89,10,30,264 is 1.

Thus, LCM of Fractions is 732732.Finally, LCM of Fractions for 78/89, 22/10, 28/30, 61/264 is 732732.