Least Common Multiple of 17/879, 34/185, 326/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/879, 34/185, 326/421 quickly i.e. 5542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/879, 34/185, 326/421 is 5542.

LCM(17/879, 34/185, 326/421) = 5542

LCM of 17/879, 34/185, 326/421

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 17/879,34/185,326/421

Given numbers are 17/879,34/185,326/421

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 17,34,326

Least Common Multiple of Numerators i.e. LCM of 17,34,326 is 5542.

GCF of Denominators means GCF of 879,185,421 as per the given fractions.

GCF of 879,185,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,34,326

LCM of Fractions 17/879,34/185,326/421 is 5542

2 17, 34, 326
17 17, 17, 163
1, 1, 163

∴ So the LCM of the given numbers is 2 x 17 x 1 x 1 x 163 = 5542

Least Common Multiple of 17,34,326 with GCF Formula

Least Common Multiple of 17,34,326 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 17,34,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,34,326) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(17,34,326) x common factors =1 x 34 = 34

LCM(17,34,326) = ( 17 × 34 × 326 ) / 34

LCM(17,34,326) = 188428 / 34

LCM(17,34,326) = 5542


Lets's calculate GCF of 879,185,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5542/1

Therefore the LCM of Fractions 17/879,34/185,326/421 is 5542

Greatest Common Factor of 879,185,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,185,421 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 879,185,421 . The biggest common factor number is the GCF number.
So the greatest common factor 879,185,421 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 17/879, 34/185, 326/421

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 17/879, 34/185, 326/421?

Answer: LCM of Numerators as per given numbers 17/879, 34/185, 326/421 is

LCM of Numerators i.e. for 17,34,326 is 5542

GCF of denominators i.e. for 879,185,421 is 1.

Thus, LCM of Fractions is 5542.Finally, LCM of Fractions for 17/879, 34/185, 326/421 is 5542.