Least Common Multiple of 1594/572, 4752/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1594/572, 4752/270 quickly i.e. 1893672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1594/572, 4752/270 is 1893672.

LCM(1594/572, 4752/270) = 1893672

LCM of 1594/572, 4752/270

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 1594/572,4752/270

Given numbers are 1594/572,4752/270

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 1594,4752

Least Common Multiple of Numerators i.e. LCM of 1594,4752 is 3787344.

GCF of Denominators means GCF of 572,270 as per the given fractions.

GCF of 572,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1594,4752

LCM of Fractions 1594/572,4752/270 is 1893672

2 1594, 4752
797, 2376

∴ So the LCM of the given numbers is 2 x 797 x 2376 = 3787344

Least Common Multiple of 1594,4752 with GCF Formula

Least Common Multiple of 1594,4752 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 1594,4752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1594,4752) = 2

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

GCF(1594,4752) x common factors =2 x 1 = 2

LCM(1594,4752) = ( 1594 × 4752 ) / 2

LCM(1594,4752) = 7574688 / 2

LCM(1594,4752) = 3787344


Lets's calculate GCF of 572,270

2 572, 270
286, 135

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3787344/2

Therefore the LCM of Fractions 1594/572,4752/270 is 1893672

Greatest Common Factor of 572,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,270 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 572,270 . The biggest common factor number is the GCF number.
So the greatest common factor 572,270 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1594/572, 4752/270

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 1594/572, 4752/270?

Answer: LCM of Numerators as per given numbers 1594/572, 4752/270 is

LCM of Numerators i.e. for 1594,4752 is 3787344

GCF of denominators i.e. for 572,270 is 2.

Thus, LCM of Fractions is 1893672.Finally, LCM of Fractions for 1594/572, 4752/270 is 1893672.