Least Common Multiple of 3562/968, 5130/4873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3562/968, 5130/4873 quickly i.e. 9136530/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3562/968, 5130/4873 is 9136530/11.

LCM(3562/968, 5130/4873) = 9136530/11

LCM of 3562/968, 5130/4873

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 3562/968,5130/4873

Given numbers are 3562/968,5130/4873

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 3562,5130

Least Common Multiple of Numerators i.e. LCM of 3562,5130 is 9136530.

GCF of Denominators means GCF of 968,4873 as per the given fractions.

GCF of 968,4873 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3562,5130

LCM of Fractions 3562/968,5130/4873 is 9136530/11

2 3562, 5130
1781, 2565

∴ So the LCM of the given numbers is 2 x 1781 x 2565 = 9136530

Least Common Multiple of 3562,5130 with GCF Formula

Least Common Multiple of 3562,5130 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 3562,5130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3562,5130) = 2

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

GCF(3562,5130) x common factors =2 x 1 = 2

LCM(3562,5130) = ( 3562 × 5130 ) / 2

LCM(3562,5130) = 18273060 / 2

LCM(3562,5130) = 9136530


Lets's calculate GCF of 968,4873

11 968, 4873
88, 443

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9136530/11

Therefore the LCM of Fractions 3562/968,5130/4873 is 9136530/11

Greatest Common Factor of 968,4873 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,4873 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 4873

List of positive integer factors of 4873 that divides 4873 without a remainder.

1,11,443,4873

Greatest Common Factor

We found the factors 968,4873 . The biggest common factor number is the GCF number.
So the greatest common factor 968,4873 is 11.


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 3562/968, 5130/4873

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 3562/968, 5130/4873?

Answer: LCM of Numerators as per given numbers 3562/968, 5130/4873 is

LCM of Numerators i.e. for 3562,5130 is 9136530

GCF of denominators i.e. for 968,4873 is 11.

Thus, LCM of Fractions is 9136530/11.Finally, LCM of Fractions for 3562/968, 5130/4873 is 9136530/11.