Least Common Multiple of 30/80, 45/79, 81/92, 63/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/80, 45/79, 81/92, 63/179 quickly i.e. 5670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/80, 45/79, 81/92, 63/179 is 5670.

LCM(30/80, 45/79, 81/92, 63/179) = 5670

LCM of 30/80, 45/79, 81/92, 63/179

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 30/80,45/79,81/92,63/179

Given numbers are 30/80,45/79,81/92,63/179

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 30,45,81,63

Least Common Multiple of Numerators i.e. LCM of 30,45,81,63 is 5670.

GCF of Denominators means GCF of 80,79,92,179 as per the given fractions.

GCF of 80,79,92,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,45,81,63

LCM of Fractions 30/80,45/79,81/92,63/179 is 5670

3 30, 45, 81, 63
3 10, 15, 27, 21
5 10, 5, 9, 7
2, 1, 9, 7

∴ So the LCM of the given numbers is 3 x 3 x 5 x 2 x 1 x 9 x 7 = 5670

Least Common Multiple of 30,45,81,63 with GCF Formula

Least Common Multiple of 30,45,81,63 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 30,45,81,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,45,81,63) = 3

common factors(in case of two or more numbers have common factors) = 405

GCF(30,45,81,63) x common factors =3 x 405 = 1215

LCM(30,45,81,63) = ( 30 × 45 × 81 × 63 ) / 1215

LCM(30,45,81,63) = 6889050 / 1215

LCM(30,45,81,63) = 5670


Lets's calculate GCF of 80,79,92,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5670/1

Therefore the LCM of Fractions 30/80,45/79,81/92,63/179 is 5670

Greatest Common Factor of 80,79,92,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,79,92,179 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 80,79,92,179 . The biggest common factor number is the GCF number.
So the greatest common factor 80,79,92,179 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 30/80, 45/79, 81/92, 63/179

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 30/80, 45/79, 81/92, 63/179?

Answer: LCM of Numerators as per given numbers 30/80, 45/79, 81/92, 63/179 is

LCM of Numerators i.e. for 30,45,81,63 is 5670

GCF of denominators i.e. for 80,79,92,179 is 1.

Thus, LCM of Fractions is 5670.Finally, LCM of Fractions for 30/80, 45/79, 81/92, 63/179 is 5670.