Least Common Multiple of 843/12, 517/89, 212/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 843/12, 517/89, 212/535 quickly i.e. 92396172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/12, 517/89, 212/535 is 92396172.

LCM(843/12, 517/89, 212/535) = 92396172

LCM of 843/12, 517/89, 212/535

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 843/12,517/89,212/535

Given numbers are 843/12,517/89,212/535

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 843,517,212

Least Common Multiple of Numerators i.e. LCM of 843,517,212 is 92396172.

GCF of Denominators means GCF of 12,89,535 as per the given fractions.

GCF of 12,89,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,517,212

LCM of Fractions 843/12,517/89,212/535 is 92396172

Given numbers has no common factors except 1. So, there LCM is their product i.e 92396172

Least Common Multiple of 843,517,212 with GCF Formula

Least Common Multiple of 843,517,212 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 843,517,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,517,212) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(843,517,212) x common factors =1 x 1 = 1

LCM(843,517,212) = ( 843 × 517 × 212 ) / 1

LCM(843,517,212) = 92396172 / 1

LCM(843,517,212) = 92396172


Lets's calculate GCF of 12,89,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92396172/1

Therefore the LCM of Fractions 843/12,517/89,212/535 is 92396172

Greatest Common Factor of 12,89,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,89,535 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 12,89,535 . The biggest common factor number is the GCF number.
So the greatest common factor 12,89,535 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 843/12, 517/89, 212/535

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 843/12, 517/89, 212/535?

Answer: LCM of Numerators as per given numbers 843/12, 517/89, 212/535 is

LCM of Numerators i.e. for 843,517,212 is 92396172

GCF of denominators i.e. for 12,89,535 is 1.

Thus, LCM of Fractions is 92396172.Finally, LCM of Fractions for 843/12, 517/89, 212/535 is 92396172.