Least Common Multiple of 13/468, 67/509, 890/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/468, 67/509, 890/519 quickly i.e. 775190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/468, 67/509, 890/519 is 775190.

LCM(13/468, 67/509, 890/519) = 775190

LCM of 13/468, 67/509, 890/519

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 13/468,67/509,890/519

Given numbers are 13/468,67/509,890/519

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 13,67,890

Least Common Multiple of Numerators i.e. LCM of 13,67,890 is 775190.

GCF of Denominators means GCF of 468,509,519 as per the given fractions.

GCF of 468,509,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,67,890

LCM of Fractions 13/468,67/509,890/519 is 775190

Given numbers has no common factors except 1. So, there LCM is their product i.e 775190

Least Common Multiple of 13,67,890 with GCF Formula

Least Common Multiple of 13,67,890 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 13,67,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,67,890) = 1

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

GCF(13,67,890) x common factors =1 x 1 = 1

LCM(13,67,890) = ( 13 × 67 × 890 ) / 1

LCM(13,67,890) = 775190 / 1

LCM(13,67,890) = 775190


Lets's calculate GCF of 468,509,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775190/1

Therefore the LCM of Fractions 13/468,67/509,890/519 is 775190

Greatest Common Factor of 468,509,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,509,519 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 468,509,519 . The biggest common factor number is the GCF number.
So the greatest common factor 468,509,519 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 13/468, 67/509, 890/519

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 13/468, 67/509, 890/519?

Answer: LCM of Numerators as per given numbers 13/468, 67/509, 890/519 is

LCM of Numerators i.e. for 13,67,890 is 775190

GCF of denominators i.e. for 468,509,519 is 1.

Thus, LCM of Fractions is 775190.Finally, LCM of Fractions for 13/468, 67/509, 890/519 is 775190.