Least Common Multiple of 234/91, 945/54, 586/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/91, 945/54, 586/155 quickly i.e. 7199010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/91, 945/54, 586/155 is 7199010.

LCM(234/91, 945/54, 586/155) = 7199010

LCM of 234/91, 945/54, 586/155

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 234/91,945/54,586/155

Given numbers are 234/91,945/54,586/155

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 234,945,586

Least Common Multiple of Numerators i.e. LCM of 234,945,586 is 7199010.

GCF of Denominators means GCF of 91,54,155 as per the given fractions.

GCF of 91,54,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,945,586

LCM of Fractions 234/91,945/54,586/155 is 7199010

2 234, 945, 586
3 117, 945, 293
3 39, 315, 293
13, 105, 293

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 105 x 293 = 7199010

Least Common Multiple of 234,945,586 with GCF Formula

Least Common Multiple of 234,945,586 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 234,945,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,945,586) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(234,945,586) x common factors =1 x 18 = 18

LCM(234,945,586) = ( 234 × 945 × 586 ) / 18

LCM(234,945,586) = 129582180 / 18

LCM(234,945,586) = 7199010


Lets's calculate GCF of 91,54,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7199010/1

Therefore the LCM of Fractions 234/91,945/54,586/155 is 7199010

Greatest Common Factor of 91,54,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,54,155 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 91,54,155 . The biggest common factor number is the GCF number.
So the greatest common factor 91,54,155 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 234/91, 945/54, 586/155

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 234/91, 945/54, 586/155?

Answer: LCM of Numerators as per given numbers 234/91, 945/54, 586/155 is

LCM of Numerators i.e. for 234,945,586 is 7199010

GCF of denominators i.e. for 91,54,155 is 1.

Thus, LCM of Fractions is 7199010.Finally, LCM of Fractions for 234/91, 945/54, 586/155 is 7199010.