Least Common Multiple of 212/541, 9988/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 212/541, 9988/792 quickly i.e. 529364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/541, 9988/792 is 529364.

LCM(212/541, 9988/792) = 529364

LCM of 212/541, 9988/792

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 212/541,9988/792

Given numbers are 212/541,9988/792

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 212,9988

Least Common Multiple of Numerators i.e. LCM of 212,9988 is 529364.

GCF of Denominators means GCF of 541,792 as per the given fractions.

GCF of 541,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,9988

LCM of Fractions 212/541,9988/792 is 529364

2 212, 9988
2 106, 4994
53, 2497

∴ So the LCM of the given numbers is 2 x 2 x 53 x 2497 = 529364

Least Common Multiple of 212,9988 with GCF Formula

Least Common Multiple of 212,9988 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 212,9988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,9988) = 4

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

GCF(212,9988) x common factors =4 x 1 = 4

LCM(212,9988) = ( 212 × 9988 ) / 4

LCM(212,9988) = 2117456 / 4

LCM(212,9988) = 529364


Lets's calculate GCF of 541,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529364/1

Therefore the LCM of Fractions 212/541,9988/792 is 529364

Greatest Common Factor of 541,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,792 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 541,792 . The biggest common factor number is the GCF number.
So the greatest common factor 541,792 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 212/541, 9988/792

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 212/541, 9988/792?

Answer: LCM of Numerators as per given numbers 212/541, 9988/792 is

LCM of Numerators i.e. for 212,9988 is 529364

GCF of denominators i.e. for 541,792 is 1.

Thus, LCM of Fractions is 529364.Finally, LCM of Fractions for 212/541, 9988/792 is 529364.