Least Common Multiple of 7197/532, 1296/4667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7197/532, 1296/4667 quickly i.e. 3109104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7197/532, 1296/4667 is 3109104.

LCM(7197/532, 1296/4667) = 3109104

LCM of 7197/532, 1296/4667

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 7197/532,1296/4667

Given numbers are 7197/532,1296/4667

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 7197,1296

Least Common Multiple of Numerators i.e. LCM of 7197,1296 is 3109104.

GCF of Denominators means GCF of 532,4667 as per the given fractions.

GCF of 532,4667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7197,1296

LCM of Fractions 7197/532,1296/4667 is 3109104

3 7197, 1296
2399, 432

∴ So the LCM of the given numbers is 3 x 2399 x 432 = 3109104

Least Common Multiple of 7197,1296 with GCF Formula

Least Common Multiple of 7197,1296 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 7197,1296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7197,1296) = 3

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

GCF(7197,1296) x common factors =3 x 1 = 3

LCM(7197,1296) = ( 7197 × 1296 ) / 3

LCM(7197,1296) = 9327312 / 3

LCM(7197,1296) = 3109104


Lets's calculate GCF of 532,4667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3109104/1

Therefore the LCM of Fractions 7197/532,1296/4667 is 3109104

Greatest Common Factor of 532,4667 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,4667 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 4667

List of positive integer factors of 4667 that divides 4667 without a remainder.

1,13,359,4667

Greatest Common Factor

We found the factors 532,4667 . The biggest common factor number is the GCF number.
So the greatest common factor 532,4667 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 7197/532, 1296/4667

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 7197/532, 1296/4667?

Answer: LCM of Numerators as per given numbers 7197/532, 1296/4667 is

LCM of Numerators i.e. for 7197,1296 is 3109104

GCF of denominators i.e. for 532,4667 is 1.

Thus, LCM of Fractions is 3109104.Finally, LCM of Fractions for 7197/532, 1296/4667 is 3109104.