Least Common Multiple of 58/84, 29/72, 171/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/84, 29/72, 171/306 quickly i.e. 1653 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/84, 29/72, 171/306 is 1653.

LCM(58/84, 29/72, 171/306) = 1653

LCM of 58/84, 29/72, 171/306

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 58/84,29/72,171/306

Given numbers are 58/84,29/72,171/306

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 58,29,171

Least Common Multiple of Numerators i.e. LCM of 58,29,171 is 9918.

GCF of Denominators means GCF of 84,72,306 as per the given fractions.

GCF of 84,72,306 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,29,171

LCM of Fractions 58/84,29/72,171/306 is 1653

29 58, 29, 171
2, 1, 171

∴ So the LCM of the given numbers is 29 x 2 x 1 x 171 = 9918

Least Common Multiple of 58,29,171 with GCF Formula

Least Common Multiple of 58,29,171 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 58,29,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,29,171) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(58,29,171) x common factors =1 x 29 = 29

LCM(58,29,171) = ( 58 × 29 × 171 ) / 29

LCM(58,29,171) = 287622 / 29

LCM(58,29,171) = 9918


Lets's calculate GCF of 84,72,306

2 84, 72, 306
3 42, 36, 153
14, 12, 51

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9918/6

Therefore the LCM of Fractions 58/84,29/72,171/306 is 1653

Greatest Common Factor of 84,72,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,72,306 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 84,72,306 . The biggest common factor number is the GCF number.
So the greatest common factor 84,72,306 is 6.


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 58/84, 29/72, 171/306

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 58/84, 29/72, 171/306?

Answer: LCM of Numerators as per given numbers 58/84, 29/72, 171/306 is

LCM of Numerators i.e. for 58,29,171 is 9918

GCF of denominators i.e. for 84,72,306 is 6.

Thus, LCM of Fractions is 1653.Finally, LCM of Fractions for 58/84, 29/72, 171/306 is 1653.