Least Common Multiple of 1332/556, 1575/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1332/556, 1575/480 quickly i.e. 58275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1332/556, 1575/480 is 58275.

LCM(1332/556, 1575/480) = 58275

LCM of 1332/556, 1575/480

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 1332/556,1575/480

Given numbers are 1332/556,1575/480

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 1332,1575

Least Common Multiple of Numerators i.e. LCM of 1332,1575 is 233100.

GCF of Denominators means GCF of 556,480 as per the given fractions.

GCF of 556,480 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1332,1575

LCM of Fractions 1332/556,1575/480 is 58275

3 1332, 1575
3 444, 525
148, 175

∴ So the LCM of the given numbers is 3 x 3 x 148 x 175 = 233100

Least Common Multiple of 1332,1575 with GCF Formula

Least Common Multiple of 1332,1575 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 1332,1575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1332,1575) = 9

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

GCF(1332,1575) x common factors =9 x 1 = 9

LCM(1332,1575) = ( 1332 × 1575 ) / 9

LCM(1332,1575) = 2097900 / 9

LCM(1332,1575) = 233100


Lets's calculate GCF of 556,480

2 556, 480
2 278, 240
139, 120

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233100/4

Therefore the LCM of Fractions 1332/556,1575/480 is 58275

Greatest Common Factor of 556,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,480 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 556,480 . The biggest common factor number is the GCF number.
So the greatest common factor 556,480 is 4.


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 1332/556, 1575/480

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 1332/556, 1575/480?

Answer: LCM of Numerators as per given numbers 1332/556, 1575/480 is

LCM of Numerators i.e. for 1332,1575 is 233100

GCF of denominators i.e. for 556,480 is 4.

Thus, LCM of Fractions is 58275.Finally, LCM of Fractions for 1332/556, 1575/480 is 58275.