Least Common Multiple of 552/479, 259/953, 882/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 552/479, 259/953, 882/600 quickly i.e. 3002328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/479, 259/953, 882/600 is 3002328.

LCM(552/479, 259/953, 882/600) = 3002328

LCM of 552/479, 259/953, 882/600

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 552/479,259/953,882/600

Given numbers are 552/479,259/953,882/600

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 552,259,882

Least Common Multiple of Numerators i.e. LCM of 552,259,882 is 3002328.

GCF of Denominators means GCF of 479,953,600 as per the given fractions.

GCF of 479,953,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,259,882

LCM of Fractions 552/479,259/953,882/600 is 3002328

2 552, 259, 882
3 276, 259, 441
7 92, 259, 147
92, 37, 21

∴ So the LCM of the given numbers is 2 x 3 x 7 x 92 x 37 x 21 = 3002328

Least Common Multiple of 552,259,882 with GCF Formula

Least Common Multiple of 552,259,882 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 552,259,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,259,882) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(552,259,882) x common factors =1 x 42 = 42

LCM(552,259,882) = ( 552 × 259 × 882 ) / 42

LCM(552,259,882) = 126097776 / 42

LCM(552,259,882) = 3002328


Lets's calculate GCF of 479,953,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3002328/1

Therefore the LCM of Fractions 552/479,259/953,882/600 is 3002328

Greatest Common Factor of 479,953,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,953,600 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 479,953,600 . The biggest common factor number is the GCF number.
So the greatest common factor 479,953,600 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 552/479, 259/953, 882/600

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 552/479, 259/953, 882/600?

Answer: LCM of Numerators as per given numbers 552/479, 259/953, 882/600 is

LCM of Numerators i.e. for 552,259,882 is 3002328

GCF of denominators i.e. for 479,953,600 is 1.

Thus, LCM of Fractions is 3002328.Finally, LCM of Fractions for 552/479, 259/953, 882/600 is 3002328.