Least Common Multiple of 513/40, 777/56, 580/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/40, 777/56, 580/460 quickly i.e. 19265715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/40, 777/56, 580/460 is 19265715.

LCM(513/40, 777/56, 580/460) = 19265715

LCM of 513/40, 777/56, 580/460

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 513/40,777/56,580/460

Given numbers are 513/40,777/56,580/460

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 513,777,580

Least Common Multiple of Numerators i.e. LCM of 513,777,580 is 77062860.

GCF of Denominators means GCF of 40,56,460 as per the given fractions.

GCF of 40,56,460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,777,580

LCM of Fractions 513/40,777/56,580/460 is 19265715

3 513, 777, 580
171, 259, 580

∴ So the LCM of the given numbers is 3 x 171 x 259 x 580 = 77062860

Least Common Multiple of 513,777,580 with GCF Formula

Least Common Multiple of 513,777,580 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 513,777,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,777,580) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(513,777,580) x common factors =1 x 3 = 3

LCM(513,777,580) = ( 513 × 777 × 580 ) / 3

LCM(513,777,580) = 231188580 / 3

LCM(513,777,580) = 77062860


Lets's calculate GCF of 40,56,460

2 40, 56, 460
2 20, 28, 230
10, 14, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77062860/4

Therefore the LCM of Fractions 513/40,777/56,580/460 is 19265715

Greatest Common Factor of 40,56,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,56,460 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 40,56,460 . The biggest common factor number is the GCF number.
So the greatest common factor 40,56,460 is 4.


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 513/40, 777/56, 580/460

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 513/40, 777/56, 580/460?

Answer: LCM of Numerators as per given numbers 513/40, 777/56, 580/460 is

LCM of Numerators i.e. for 513,777,580 is 77062860

GCF of denominators i.e. for 40,56,460 is 4.

Thus, LCM of Fractions is 19265715.Finally, LCM of Fractions for 513/40, 777/56, 580/460 is 19265715.