Least Common Multiple of 14/60, 79/62, 60/57, 85/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/60, 79/62, 60/57, 85/279 quickly i.e. 564060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/60, 79/62, 60/57, 85/279 is 564060.

LCM(14/60, 79/62, 60/57, 85/279) = 564060

LCM of 14/60, 79/62, 60/57, 85/279

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 14/60,79/62,60/57,85/279

Given numbers are 14/60,79/62,60/57,85/279

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 14,79,60,85

Least Common Multiple of Numerators i.e. LCM of 14,79,60,85 is 564060.

GCF of Denominators means GCF of 60,62,57,279 as per the given fractions.

GCF of 60,62,57,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,79,60,85

LCM of Fractions 14/60,79/62,60/57,85/279 is 564060

2 14, 79, 60, 85
5 7, 79, 30, 85
7, 79, 6, 17

∴ So the LCM of the given numbers is 2 x 5 x 7 x 79 x 6 x 17 = 564060

Least Common Multiple of 14,79,60,85 with GCF Formula

Least Common Multiple of 14,79,60,85 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 14,79,60,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,79,60,85) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(14,79,60,85) x common factors =1 x 10 = 10

LCM(14,79,60,85) = ( 14 × 79 × 60 × 85 ) / 10

LCM(14,79,60,85) = 5640600 / 10

LCM(14,79,60,85) = 564060


Lets's calculate GCF of 60,62,57,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564060/1

Therefore the LCM of Fractions 14/60,79/62,60/57,85/279 is 564060

Greatest Common Factor of 60,62,57,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,62,57,279 By Matching Biggest Common Factor Method

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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 60,62,57,279 . The biggest common factor number is the GCF number.
So the greatest common factor 60,62,57,279 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 14/60, 79/62, 60/57, 85/279

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 14/60, 79/62, 60/57, 85/279?

Answer: LCM of Numerators as per given numbers 14/60, 79/62, 60/57, 85/279 is

LCM of Numerators i.e. for 14,79,60,85 is 564060

GCF of denominators i.e. for 60,62,57,279 is 1.

Thus, LCM of Fractions is 564060.Finally, LCM of Fractions for 14/60, 79/62, 60/57, 85/279 is 564060.