Least Common Multiple of 79/94, 90/60, 17/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/94, 90/60, 17/312 quickly i.e. 60435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/94, 90/60, 17/312 is 60435.

LCM(79/94, 90/60, 17/312) = 60435

LCM of 79/94, 90/60, 17/312

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 79/94,90/60,17/312

Given numbers are 79/94,90/60,17/312

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 79,90,17

Least Common Multiple of Numerators i.e. LCM of 79,90,17 is 120870.

GCF of Denominators means GCF of 94,60,312 as per the given fractions.

GCF of 94,60,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,90,17

LCM of Fractions 79/94,90/60,17/312 is 60435

Given numbers has no common factors except 1. So, there LCM is their product i.e 120870

Least Common Multiple of 79,90,17 with GCF Formula

Least Common Multiple of 79,90,17 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 79,90,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,90,17) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,90,17) x common factors =1 x 1 = 1

LCM(79,90,17) = ( 79 × 90 × 17 ) / 1

LCM(79,90,17) = 120870 / 1

LCM(79,90,17) = 120870


Lets's calculate GCF of 94,60,312

2 94, 60, 312
47, 30, 156

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120870/2

Therefore the LCM of Fractions 79/94,90/60,17/312 is 60435

Greatest Common Factor of 94,60,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,60,312 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 94,60,312 . The biggest common factor number is the GCF number.
So the greatest common factor 94,60,312 is 2.


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 79/94, 90/60, 17/312

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 79/94, 90/60, 17/312?

Answer: LCM of Numerators as per given numbers 79/94, 90/60, 17/312 is

LCM of Numerators i.e. for 79,90,17 is 120870

GCF of denominators i.e. for 94,60,312 is 2.

Thus, LCM of Fractions is 60435.Finally, LCM of Fractions for 79/94, 90/60, 17/312 is 60435.