Least Common Multiple of 843/54, 996/47, 234/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 843/54, 996/47, 234/841 quickly i.e. 10915164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/54, 996/47, 234/841 is 10915164.

LCM(843/54, 996/47, 234/841) = 10915164

LCM of 843/54, 996/47, 234/841

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 843/54,996/47,234/841

Given numbers are 843/54,996/47,234/841

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 843,996,234

Least Common Multiple of Numerators i.e. LCM of 843,996,234 is 10915164.

GCF of Denominators means GCF of 54,47,841 as per the given fractions.

GCF of 54,47,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,996,234

LCM of Fractions 843/54,996/47,234/841 is 10915164

2 843, 996, 234
3 843, 498, 117
281, 166, 39

∴ So the LCM of the given numbers is 2 x 3 x 281 x 166 x 39 = 10915164

Least Common Multiple of 843,996,234 with GCF Formula

Least Common Multiple of 843,996,234 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 843,996,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,996,234) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(843,996,234) x common factors =3 x 6 = 18

LCM(843,996,234) = ( 843 × 996 × 234 ) / 18

LCM(843,996,234) = 196472952 / 18

LCM(843,996,234) = 10915164


Lets's calculate GCF of 54,47,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10915164/1

Therefore the LCM of Fractions 843/54,996/47,234/841 is 10915164

Greatest Common Factor of 54,47,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,47,841 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 54,47,841 . The biggest common factor number is the GCF number.
So the greatest common factor 54,47,841 is 1.


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Frequently Asked Questions on Fractional LCM of 843/54, 996/47, 234/841

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 843/54, 996/47, 234/841?

Answer: LCM of Numerators as per given numbers 843/54, 996/47, 234/841 is

LCM of Numerators i.e. for 843,996,234 is 10915164

GCF of denominators i.e. for 54,47,841 is 1.

Thus, LCM of Fractions is 10915164.Finally, LCM of Fractions for 843/54, 996/47, 234/841 is 10915164.