Least Common Multiple of 520/321, 654/728, 462/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/321, 654/728, 462/840 quickly i.e. 13093080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/321, 654/728, 462/840 is 13093080.

LCM(520/321, 654/728, 462/840) = 13093080

LCM of 520/321, 654/728, 462/840

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 520/321,654/728,462/840

Given numbers are 520/321,654/728,462/840

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 520,654,462

Least Common Multiple of Numerators i.e. LCM of 520,654,462 is 13093080.

GCF of Denominators means GCF of 321,728,840 as per the given fractions.

GCF of 321,728,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,654,462

LCM of Fractions 520/321,654/728,462/840 is 13093080

2 520, 654, 462
3 260, 327, 231
260, 109, 77

∴ So the LCM of the given numbers is 2 x 3 x 260 x 109 x 77 = 13093080

Least Common Multiple of 520,654,462 with GCF Formula

Least Common Multiple of 520,654,462 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 520,654,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,654,462) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(520,654,462) x common factors =2 x 6 = 12

LCM(520,654,462) = ( 520 × 654 × 462 ) / 12

LCM(520,654,462) = 157116960 / 12

LCM(520,654,462) = 13093080


Lets's calculate GCF of 321,728,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13093080/1

Therefore the LCM of Fractions 520/321,654/728,462/840 is 13093080

Greatest Common Factor of 321,728,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,728,840 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 321,728,840 . The biggest common factor number is the GCF number.
So the greatest common factor 321,728,840 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 520/321, 654/728, 462/840

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 520/321, 654/728, 462/840?

Answer: LCM of Numerators as per given numbers 520/321, 654/728, 462/840 is

LCM of Numerators i.e. for 520,654,462 is 13093080

GCF of denominators i.e. for 321,728,840 is 1.

Thus, LCM of Fractions is 13093080.Finally, LCM of Fractions for 520/321, 654/728, 462/840 is 13093080.