Least Common Multiple of 379/58, 542/72, 235/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/58, 542/72, 235/282 quickly i.e. 24136615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/58, 542/72, 235/282 is 24136615.

LCM(379/58, 542/72, 235/282) = 24136615

LCM of 379/58, 542/72, 235/282

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 379/58,542/72,235/282

Given numbers are 379/58,542/72,235/282

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 379,542,235

Least Common Multiple of Numerators i.e. LCM of 379,542,235 is 48273230.

GCF of Denominators means GCF of 58,72,282 as per the given fractions.

GCF of 58,72,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,542,235

LCM of Fractions 379/58,542/72,235/282 is 24136615

Given numbers has no common factors except 1. So, there LCM is their product i.e 48273230

Least Common Multiple of 379,542,235 with GCF Formula

Least Common Multiple of 379,542,235 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 379,542,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,542,235) = 1

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

GCF(379,542,235) x common factors =1 x 1 = 1

LCM(379,542,235) = ( 379 × 542 × 235 ) / 1

LCM(379,542,235) = 48273230 / 1

LCM(379,542,235) = 48273230


Lets's calculate GCF of 58,72,282

2 58, 72, 282
29, 36, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48273230/2

Therefore the LCM of Fractions 379/58,542/72,235/282 is 24136615

Greatest Common Factor of 58,72,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,72,282 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

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 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 58,72,282 . The biggest common factor number is the GCF number.
So the greatest common factor 58,72,282 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 379/58, 542/72, 235/282

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 379/58, 542/72, 235/282?

Answer: LCM of Numerators as per given numbers 379/58, 542/72, 235/282 is

LCM of Numerators i.e. for 379,542,235 is 48273230

GCF of denominators i.e. for 58,72,282 is 2.

Thus, LCM of Fractions is 24136615.Finally, LCM of Fractions for 379/58, 542/72, 235/282 is 24136615.