Least Common Multiple of 312/58, 587/37, 926/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/58, 587/37, 926/226 quickly i.e. 84795672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/58, 587/37, 926/226 is 84795672.

LCM(312/58, 587/37, 926/226) = 84795672

LCM of 312/58, 587/37, 926/226

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 312/58,587/37,926/226

Given numbers are 312/58,587/37,926/226

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 312,587,926

Least Common Multiple of Numerators i.e. LCM of 312,587,926 is 84795672.

GCF of Denominators means GCF of 58,37,226 as per the given fractions.

GCF of 58,37,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,587,926

LCM of Fractions 312/58,587/37,926/226 is 84795672

2 312, 587, 926
156, 587, 463

∴ So the LCM of the given numbers is 2 x 156 x 587 x 463 = 84795672

Least Common Multiple of 312,587,926 with GCF Formula

Least Common Multiple of 312,587,926 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 312,587,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,587,926) = 1

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

GCF(312,587,926) x common factors =1 x 2 = 2

LCM(312,587,926) = ( 312 × 587 × 926 ) / 2

LCM(312,587,926) = 169591344 / 2

LCM(312,587,926) = 84795672


Lets's calculate GCF of 58,37,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84795672/1

Therefore the LCM of Fractions 312/58,587/37,926/226 is 84795672

Greatest Common Factor of 58,37,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,37,226 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 226

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

1,2,113,226

Greatest Common Factor

We found the factors 58,37,226 . The biggest common factor number is the GCF number.
So the greatest common factor 58,37,226 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 312/58, 587/37, 926/226

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 312/58, 587/37, 926/226?

Answer: LCM of Numerators as per given numbers 312/58, 587/37, 926/226 is

LCM of Numerators i.e. for 312,587,926 is 84795672

GCF of denominators i.e. for 58,37,226 is 1.

Thus, LCM of Fractions is 84795672.Finally, LCM of Fractions for 312/58, 587/37, 926/226 is 84795672.