Least Common Multiple of 43/54, 69/25, 851/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/54, 69/25, 851/272 quickly i.e. 109779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/54, 69/25, 851/272 is 109779.

LCM(43/54, 69/25, 851/272) = 109779

LCM of 43/54, 69/25, 851/272

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 43/54,69/25,851/272

Given numbers are 43/54,69/25,851/272

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 43,69,851

Least Common Multiple of Numerators i.e. LCM of 43,69,851 is 109779.

GCF of Denominators means GCF of 54,25,272 as per the given fractions.

GCF of 54,25,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,69,851

LCM of Fractions 43/54,69/25,851/272 is 109779

23 43, 69, 851
43, 3, 37

∴ So the LCM of the given numbers is 23 x 43 x 3 x 37 = 109779

Least Common Multiple of 43,69,851 with GCF Formula

Least Common Multiple of 43,69,851 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 43,69,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,69,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(43,69,851) x common factors =1 x 23 = 23

LCM(43,69,851) = ( 43 × 69 × 851 ) / 23

LCM(43,69,851) = 2524917 / 23

LCM(43,69,851) = 109779


Lets's calculate GCF of 54,25,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109779/1

Therefore the LCM of Fractions 43/54,69/25,851/272 is 109779

Greatest Common Factor of 54,25,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,25,272 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 54,25,272 . The biggest common factor number is the GCF number.
So the greatest common factor 54,25,272 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 43/54, 69/25, 851/272

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 43/54, 69/25, 851/272?

Answer: LCM of Numerators as per given numbers 43/54, 69/25, 851/272 is

LCM of Numerators i.e. for 43,69,851 is 109779

GCF of denominators i.e. for 54,25,272 is 1.

Thus, LCM of Fractions is 109779.Finally, LCM of Fractions for 43/54, 69/25, 851/272 is 109779.