Least Common Multiple of 320/648, 569/902, 595/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/648, 569/902, 595/594 quickly i.e. 10833760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/648, 569/902, 595/594 is 10833760.

LCM(320/648, 569/902, 595/594) = 10833760

LCM of 320/648, 569/902, 595/594

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 320/648,569/902,595/594

Given numbers are 320/648,569/902,595/594

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 320,569,595

Least Common Multiple of Numerators i.e. LCM of 320,569,595 is 21667520.

GCF of Denominators means GCF of 648,902,594 as per the given fractions.

GCF of 648,902,594 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,569,595

LCM of Fractions 320/648,569/902,595/594 is 10833760

5 320, 569, 595
64, 569, 119

∴ So the LCM of the given numbers is 5 x 64 x 569 x 119 = 21667520

Least Common Multiple of 320,569,595 with GCF Formula

Least Common Multiple of 320,569,595 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 320,569,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,569,595) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(320,569,595) x common factors =1 x 5 = 5

LCM(320,569,595) = ( 320 × 569 × 595 ) / 5

LCM(320,569,595) = 108337600 / 5

LCM(320,569,595) = 21667520


Lets's calculate GCF of 648,902,594

2 648, 902, 594
324, 451, 297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21667520/2

Therefore the LCM of Fractions 320/648,569/902,595/594 is 10833760

Greatest Common Factor of 648,902,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,902,594 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 648,902,594 . The biggest common factor number is the GCF number.
So the greatest common factor 648,902,594 is 2.


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 320/648, 569/902, 595/594

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 320/648, 569/902, 595/594?

Answer: LCM of Numerators as per given numbers 320/648, 569/902, 595/594 is

LCM of Numerators i.e. for 320,569,595 is 21667520

GCF of denominators i.e. for 648,902,594 is 2.

Thus, LCM of Fractions is 10833760.Finally, LCM of Fractions for 320/648, 569/902, 595/594 is 10833760.