Least Common Multiple of 65/54, 35/18, 228/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/54, 35/18, 228/891 quickly i.e. 103740/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/54, 35/18, 228/891 is 103740/9.

LCM(65/54, 35/18, 228/891) = 103740/9

LCM of 65/54, 35/18, 228/891

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 65/54,35/18,228/891

Given numbers are 65/54,35/18,228/891

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 65,35,228

Least Common Multiple of Numerators i.e. LCM of 65,35,228 is 103740.

GCF of Denominators means GCF of 54,18,891 as per the given fractions.

GCF of 54,18,891 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,35,228

LCM of Fractions 65/54,35/18,228/891 is 103740/9

5 65, 35, 228
13, 7, 228

∴ So the LCM of the given numbers is 5 x 13 x 7 x 228 = 103740

Least Common Multiple of 65,35,228 with GCF Formula

Least Common Multiple of 65,35,228 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 65,35,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,35,228) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,35,228) x common factors =1 x 5 = 5

LCM(65,35,228) = ( 65 × 35 × 228 ) / 5

LCM(65,35,228) = 518700 / 5

LCM(65,35,228) = 103740


Lets's calculate GCF of 54,18,891

3 54, 18, 891
3 18, 6, 297
2, 6, 99

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103740/9

Therefore the LCM of Fractions 65/54,35/18,228/891 is 103740/9

Greatest Common Factor of 54,18,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,18,891 By Matching Biggest Common Factor Method

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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 54,18,891 . The biggest common factor number is the GCF number.
So the greatest common factor 54,18,891 is 9.


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 65/54, 35/18, 228/891

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 65/54, 35/18, 228/891?

Answer: LCM of Numerators as per given numbers 65/54, 35/18, 228/891 is

LCM of Numerators i.e. for 65,35,228 is 103740

GCF of denominators i.e. for 54,18,891 is 9.

Thus, LCM of Fractions is 103740/9.Finally, LCM of Fractions for 65/54, 35/18, 228/891 is 103740/9.