Least Common Multiple of 4068/597, 7048/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4068/597, 7048/360 quickly i.e. 2389272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4068/597, 7048/360 is 2389272.

LCM(4068/597, 7048/360) = 2389272

LCM of 4068/597, 7048/360

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 4068/597,7048/360

Given numbers are 4068/597,7048/360

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 4068,7048

Least Common Multiple of Numerators i.e. LCM of 4068,7048 is 7167816.

GCF of Denominators means GCF of 597,360 as per the given fractions.

GCF of 597,360 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4068,7048

LCM of Fractions 4068/597,7048/360 is 2389272

2 4068, 7048
2 2034, 3524
1017, 1762

∴ So the LCM of the given numbers is 2 x 2 x 1017 x 1762 = 7167816

Least Common Multiple of 4068,7048 with GCF Formula

Least Common Multiple of 4068,7048 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 4068,7048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4068,7048) = 4

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

GCF(4068,7048) x common factors =4 x 1 = 4

LCM(4068,7048) = ( 4068 × 7048 ) / 4

LCM(4068,7048) = 28671264 / 4

LCM(4068,7048) = 7167816


Lets's calculate GCF of 597,360

3 597, 360
199, 120

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7167816/3

Therefore the LCM of Fractions 4068/597,7048/360 is 2389272

Greatest Common Factor of 597,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,360 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 597,360 . The biggest common factor number is the GCF number.
So the greatest common factor 597,360 is 3.


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 4068/597, 7048/360

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 4068/597, 7048/360?

Answer: LCM of Numerators as per given numbers 4068/597, 7048/360 is

LCM of Numerators i.e. for 4068,7048 is 7167816

GCF of denominators i.e. for 597,360 is 3.

Thus, LCM of Fractions is 2389272.Finally, LCM of Fractions for 4068/597, 7048/360 is 2389272.