Least Common Multiple of 520/66, 728/10, 454/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/66, 728/10, 454/65 quickly i.e. 826280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/66, 728/10, 454/65 is 826280.

LCM(520/66, 728/10, 454/65) = 826280

LCM of 520/66, 728/10, 454/65

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 520/66,728/10,454/65

Given numbers are 520/66,728/10,454/65

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 520,728,454

Least Common Multiple of Numerators i.e. LCM of 520,728,454 is 826280.

GCF of Denominators means GCF of 66,10,65 as per the given fractions.

GCF of 66,10,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,728,454

LCM of Fractions 520/66,728/10,454/65 is 826280

2 520, 728, 454
2 260, 364, 227
2 130, 182, 227
13 65, 91, 227
5, 7, 227

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 5 x 7 x 227 = 826280

Least Common Multiple of 520,728,454 with GCF Formula

Least Common Multiple of 520,728,454 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 520,728,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,728,454) = 2

common factors(in case of two or more numbers have common factors) = 104

GCF(520,728,454) x common factors =2 x 104 = 208

LCM(520,728,454) = ( 520 × 728 × 454 ) / 208

LCM(520,728,454) = 171866240 / 208

LCM(520,728,454) = 826280


Lets's calculate GCF of 66,10,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 826280/1

Therefore the LCM of Fractions 520/66,728/10,454/65 is 826280

Greatest Common Factor of 66,10,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,10,65 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 66,10,65 . The biggest common factor number is the GCF number.
So the greatest common factor 66,10,65 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 520/66, 728/10, 454/65

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 520/66, 728/10, 454/65?

Answer: LCM of Numerators as per given numbers 520/66, 728/10, 454/65 is

LCM of Numerators i.e. for 520,728,454 is 826280

GCF of denominators i.e. for 66,10,65 is 1.

Thus, LCM of Fractions is 826280.Finally, LCM of Fractions for 520/66, 728/10, 454/65 is 826280.