Least Common Multiple of 544/31, 213/9954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/31, 213/9954 quickly i.e. 115872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/31, 213/9954 is 115872.

LCM(544/31, 213/9954) = 115872

LCM of 544/31, 213/9954

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 544/31,213/9954

Given numbers are 544/31,213/9954

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 544,213

Least Common Multiple of Numerators i.e. LCM of 544,213 is 115872.

GCF of Denominators means GCF of 31,9954 as per the given fractions.

GCF of 31,9954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,213

LCM of Fractions 544/31,213/9954 is 115872

Given numbers has no common factors except 1. So, there LCM is their product i.e 115872

Least Common Multiple of 544,213 with GCF Formula

Least Common Multiple of 544,213 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 544,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,213) = 1

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

GCF(544,213) x common factors =1 x 1 = 1

LCM(544,213) = ( 544 × 213 ) / 1

LCM(544,213) = 115872 / 1

LCM(544,213) = 115872


Lets's calculate GCF of 31,9954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115872/1

Therefore the LCM of Fractions 544/31,213/9954 is 115872

Greatest Common Factor of 31,9954 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,9954 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954

Greatest Common Factor

We found the factors 31,9954 . The biggest common factor number is the GCF number.
So the greatest common factor 31,9954 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 544/31, 213/9954

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 544/31, 213/9954?

Answer: LCM of Numerators as per given numbers 544/31, 213/9954 is

LCM of Numerators i.e. for 544,213 is 115872

GCF of denominators i.e. for 31,9954 is 1.

Thus, LCM of Fractions is 115872.Finally, LCM of Fractions for 544/31, 213/9954 is 115872.