Least Common Multiple of 58/368, 524/164, 891/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/368, 524/164, 891/238 quickly i.e. 6769818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/368, 524/164, 891/238 is 6769818.

LCM(58/368, 524/164, 891/238) = 6769818

LCM of 58/368, 524/164, 891/238

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 58/368,524/164,891/238

Given numbers are 58/368,524/164,891/238

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 58,524,891

Least Common Multiple of Numerators i.e. LCM of 58,524,891 is 13539636.

GCF of Denominators means GCF of 368,164,238 as per the given fractions.

GCF of 368,164,238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,524,891

LCM of Fractions 58/368,524/164,891/238 is 6769818

2 58, 524, 891
29, 262, 891

∴ So the LCM of the given numbers is 2 x 29 x 262 x 891 = 13539636

Least Common Multiple of 58,524,891 with GCF Formula

Least Common Multiple of 58,524,891 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 58,524,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,524,891) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,524,891) x common factors =1 x 2 = 2

LCM(58,524,891) = ( 58 × 524 × 891 ) / 2

LCM(58,524,891) = 27079272 / 2

LCM(58,524,891) = 13539636


Lets's calculate GCF of 368,164,238

2 368, 164, 238
184, 82, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13539636/2

Therefore the LCM of Fractions 58/368,524/164,891/238 is 6769818

Greatest Common Factor of 368,164,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,164,238 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 368,164,238 . The biggest common factor number is the GCF number.
So the greatest common factor 368,164,238 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 58/368, 524/164, 891/238

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 58/368, 524/164, 891/238?

Answer: LCM of Numerators as per given numbers 58/368, 524/164, 891/238 is

LCM of Numerators i.e. for 58,524,891 is 13539636

GCF of denominators i.e. for 368,164,238 is 2.

Thus, LCM of Fractions is 6769818.Finally, LCM of Fractions for 58/368, 524/164, 891/238 is 6769818.