Least Common Multiple of 572/56, 855/1590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 572/56, 855/1590 quickly i.e. 244530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/56, 855/1590 is 244530.

LCM(572/56, 855/1590) = 244530

LCM of 572/56, 855/1590

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 572/56,855/1590

Given numbers are 572/56,855/1590

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 572,855

Least Common Multiple of Numerators i.e. LCM of 572,855 is 489060.

GCF of Denominators means GCF of 56,1590 as per the given fractions.

GCF of 56,1590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,855

LCM of Fractions 572/56,855/1590 is 244530

Given numbers has no common factors except 1. So, there LCM is their product i.e 489060

Least Common Multiple of 572,855 with GCF Formula

Least Common Multiple of 572,855 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 572,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,855) = 1

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

GCF(572,855) x common factors =1 x 1 = 1

LCM(572,855) = ( 572 × 855 ) / 1

LCM(572,855) = 489060 / 1

LCM(572,855) = 489060


Lets's calculate GCF of 56,1590

2 56, 1590
28, 795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489060/2

Therefore the LCM of Fractions 572/56,855/1590 is 244530

Greatest Common Factor of 56,1590 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,1590 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590

Greatest Common Factor

We found the factors 56,1590 . The biggest common factor number is the GCF number.
So the greatest common factor 56,1590 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 572/56, 855/1590

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 572/56, 855/1590?

Answer: LCM of Numerators as per given numbers 572/56, 855/1590 is

LCM of Numerators i.e. for 572,855 is 489060

GCF of denominators i.e. for 56,1590 is 2.

Thus, LCM of Fractions is 244530.Finally, LCM of Fractions for 572/56, 855/1590 is 244530.