Least Common Multiple of 18/719, 873/242, 916/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/719, 873/242, 916/509 quickly i.e. 799668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/719, 873/242, 916/509 is 799668.

LCM(18/719, 873/242, 916/509) = 799668

LCM of 18/719, 873/242, 916/509

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 18/719,873/242,916/509

Given numbers are 18/719,873/242,916/509

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 18,873,916

Least Common Multiple of Numerators i.e. LCM of 18,873,916 is 799668.

GCF of Denominators means GCF of 719,242,509 as per the given fractions.

GCF of 719,242,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,873,916

LCM of Fractions 18/719,873/242,916/509 is 799668

2 18, 873, 916
3 9, 873, 458
3 3, 291, 458
1, 97, 458

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 97 x 458 = 799668

Least Common Multiple of 18,873,916 with GCF Formula

Least Common Multiple of 18,873,916 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 18,873,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,873,916) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,873,916) x common factors =1 x 18 = 18

LCM(18,873,916) = ( 18 × 873 × 916 ) / 18

LCM(18,873,916) = 14394024 / 18

LCM(18,873,916) = 799668


Lets's calculate GCF of 719,242,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 799668/1

Therefore the LCM of Fractions 18/719,873/242,916/509 is 799668

Greatest Common Factor of 719,242,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,242,509 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 509

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

1,509

Greatest Common Factor

We found the factors 719,242,509 . The biggest common factor number is the GCF number.
So the greatest common factor 719,242,509 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 18/719, 873/242, 916/509

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 18/719, 873/242, 916/509?

Answer: LCM of Numerators as per given numbers 18/719, 873/242, 916/509 is

LCM of Numerators i.e. for 18,873,916 is 799668

GCF of denominators i.e. for 719,242,509 is 1.

Thus, LCM of Fractions is 799668.Finally, LCM of Fractions for 18/719, 873/242, 916/509 is 799668.