Least Common Multiple of 735/58, 217/15, 926/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/58, 217/15, 926/367 quickly i.e. 21098910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/58, 217/15, 926/367 is 21098910.

LCM(735/58, 217/15, 926/367) = 21098910

LCM of 735/58, 217/15, 926/367

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 735/58,217/15,926/367

Given numbers are 735/58,217/15,926/367

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 735,217,926

Least Common Multiple of Numerators i.e. LCM of 735,217,926 is 21098910.

GCF of Denominators means GCF of 58,15,367 as per the given fractions.

GCF of 58,15,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,217,926

LCM of Fractions 735/58,217/15,926/367 is 21098910

7 735, 217, 926
105, 31, 926

∴ So the LCM of the given numbers is 7 x 105 x 31 x 926 = 21098910

Least Common Multiple of 735,217,926 with GCF Formula

Least Common Multiple of 735,217,926 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 735,217,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,217,926) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(735,217,926) x common factors =1 x 7 = 7

LCM(735,217,926) = ( 735 × 217 × 926 ) / 7

LCM(735,217,926) = 147692370 / 7

LCM(735,217,926) = 21098910


Lets's calculate GCF of 58,15,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21098910/1

Therefore the LCM of Fractions 735/58,217/15,926/367 is 21098910

Greatest Common Factor of 58,15,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,15,367 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 58,15,367 . The biggest common factor number is the GCF number.
So the greatest common factor 58,15,367 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 735/58, 217/15, 926/367

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 735/58, 217/15, 926/367?

Answer: LCM of Numerators as per given numbers 735/58, 217/15, 926/367 is

LCM of Numerators i.e. for 735,217,926 is 21098910

GCF of denominators i.e. for 58,15,367 is 1.

Thus, LCM of Fractions is 21098910.Finally, LCM of Fractions for 735/58, 217/15, 926/367 is 21098910.