Least Common Multiple of 560/652, 8318/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 560/652, 8318/592 quickly i.e. 582260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/652, 8318/592 is 582260.

LCM(560/652, 8318/592) = 582260

LCM of 560/652, 8318/592

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 560/652,8318/592

Given numbers are 560/652,8318/592

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 560,8318

Least Common Multiple of Numerators i.e. LCM of 560,8318 is 2329040.

GCF of Denominators means GCF of 652,592 as per the given fractions.

GCF of 652,592 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,8318

LCM of Fractions 560/652,8318/592 is 582260

2 560, 8318
280, 4159

∴ So the LCM of the given numbers is 2 x 280 x 4159 = 2329040

Least Common Multiple of 560,8318 with GCF Formula

Least Common Multiple of 560,8318 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 560,8318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,8318) = 2

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

GCF(560,8318) x common factors =2 x 1 = 2

LCM(560,8318) = ( 560 × 8318 ) / 2

LCM(560,8318) = 4658080 / 2

LCM(560,8318) = 2329040


Lets's calculate GCF of 652,592

2 652, 592
2 326, 296
163, 148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2329040/4

Therefore the LCM of Fractions 560/652,8318/592 is 582260

Greatest Common Factor of 652,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,592 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 652,592 . The biggest common factor number is the GCF number.
So the greatest common factor 652,592 is 4.


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Frequently Asked Questions on Fractional LCM of 560/652, 8318/592

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 560/652, 8318/592?

Answer: LCM of Numerators as per given numbers 560/652, 8318/592 is

LCM of Numerators i.e. for 560,8318 is 2329040

GCF of denominators i.e. for 652,592 is 4.

Thus, LCM of Fractions is 582260.Finally, LCM of Fractions for 560/652, 8318/592 is 582260.