Least Common Multiple of 9734/540, 3428/8213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9734/540, 3428/8213 quickly i.e. 16684076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9734/540, 3428/8213 is 16684076.

LCM(9734/540, 3428/8213) = 16684076

LCM of 9734/540, 3428/8213

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 9734/540,3428/8213

Given numbers are 9734/540,3428/8213

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 9734,3428

Least Common Multiple of Numerators i.e. LCM of 9734,3428 is 16684076.

GCF of Denominators means GCF of 540,8213 as per the given fractions.

GCF of 540,8213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9734,3428

LCM of Fractions 9734/540,3428/8213 is 16684076

2 9734, 3428
4867, 1714

∴ So the LCM of the given numbers is 2 x 4867 x 1714 = 16684076

Least Common Multiple of 9734,3428 with GCF Formula

Least Common Multiple of 9734,3428 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 9734,3428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9734,3428) = 2

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

GCF(9734,3428) x common factors =2 x 1 = 2

LCM(9734,3428) = ( 9734 × 3428 ) / 2

LCM(9734,3428) = 33368152 / 2

LCM(9734,3428) = 16684076


Lets's calculate GCF of 540,8213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16684076/1

Therefore the LCM of Fractions 9734/540,3428/8213 is 16684076

Greatest Common Factor of 540,8213 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,8213 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1,43,191,8213

Greatest Common Factor

We found the factors 540,8213 . The biggest common factor number is the GCF number.
So the greatest common factor 540,8213 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 9734/540, 3428/8213

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 9734/540, 3428/8213?

Answer: LCM of Numerators as per given numbers 9734/540, 3428/8213 is

LCM of Numerators i.e. for 9734,3428 is 16684076

GCF of denominators i.e. for 540,8213 is 1.

Thus, LCM of Fractions is 16684076.Finally, LCM of Fractions for 9734/540, 3428/8213 is 16684076.