Least Common Multiple of 58/128, 283/226, 938/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/128, 283/226, 938/328 quickly i.e. 3849083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/128, 283/226, 938/328 is 3849083.

LCM(58/128, 283/226, 938/328) = 3849083

LCM of 58/128, 283/226, 938/328

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 58/128,283/226,938/328

Given numbers are 58/128,283/226,938/328

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 58,283,938

Least Common Multiple of Numerators i.e. LCM of 58,283,938 is 7698166.

GCF of Denominators means GCF of 128,226,328 as per the given fractions.

GCF of 128,226,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,283,938

LCM of Fractions 58/128,283/226,938/328 is 3849083

2 58, 283, 938
29, 283, 469

∴ So the LCM of the given numbers is 2 x 29 x 283 x 469 = 7698166

Least Common Multiple of 58,283,938 with GCF Formula

Least Common Multiple of 58,283,938 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 58,283,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,283,938) = 1

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

GCF(58,283,938) x common factors =1 x 2 = 2

LCM(58,283,938) = ( 58 × 283 × 938 ) / 2

LCM(58,283,938) = 15396332 / 2

LCM(58,283,938) = 7698166


Lets's calculate GCF of 128,226,328

2 128, 226, 328
64, 113, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7698166/2

Therefore the LCM of Fractions 58/128,283/226,938/328 is 3849083

Greatest Common Factor of 128,226,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,226,328 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 128,226,328 . The biggest common factor number is the GCF number.
So the greatest common factor 128,226,328 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 58/128, 283/226, 938/328

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 58/128, 283/226, 938/328?

Answer: LCM of Numerators as per given numbers 58/128, 283/226, 938/328 is

LCM of Numerators i.e. for 58,283,938 is 7698166

GCF of denominators i.e. for 128,226,328 is 2.

Thus, LCM of Fractions is 3849083.Finally, LCM of Fractions for 58/128, 283/226, 938/328 is 3849083.