Least Common Multiple of 279/79, 573/23, 356/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/79, 573/23, 356/17 quickly i.e. 18970884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/79, 573/23, 356/17 is 18970884.

LCM(279/79, 573/23, 356/17) = 18970884

LCM of 279/79, 573/23, 356/17

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 279/79,573/23,356/17

Given numbers are 279/79,573/23,356/17

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 279,573,356

Least Common Multiple of Numerators i.e. LCM of 279,573,356 is 18970884.

GCF of Denominators means GCF of 79,23,17 as per the given fractions.

GCF of 79,23,17 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,573,356

LCM of Fractions 279/79,573/23,356/17 is 18970884

3 279, 573, 356
93, 191, 356

∴ So the LCM of the given numbers is 3 x 93 x 191 x 356 = 18970884

Least Common Multiple of 279,573,356 with GCF Formula

Least Common Multiple of 279,573,356 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 279,573,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,573,356) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(279,573,356) x common factors =1 x 3 = 3

LCM(279,573,356) = ( 279 × 573 × 356 ) / 3

LCM(279,573,356) = 56912652 / 3

LCM(279,573,356) = 18970884


Lets's calculate GCF of 79,23,17

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18970884/1

Therefore the LCM of Fractions 279/79,573/23,356/17 is 18970884

Greatest Common Factor of 79,23,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,23,17 By Matching Biggest Common Factor Method

Factors of 79

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

1,79

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 79,23,17 . The biggest common factor number is the GCF number.
So the greatest common factor 79,23,17 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 279/79, 573/23, 356/17

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 279/79, 573/23, 356/17?

Answer: LCM of Numerators as per given numbers 279/79, 573/23, 356/17 is

LCM of Numerators i.e. for 279,573,356 is 18970884

GCF of denominators i.e. for 79,23,17 is 1.

Thus, LCM of Fractions is 18970884.Finally, LCM of Fractions for 279/79, 573/23, 356/17 is 18970884.