Least Common Multiple of 845/599, 853/117, 686/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 845/599, 853/117, 686/468 quickly i.e. 494458510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 845/599, 853/117, 686/468 is 494458510.

LCM(845/599, 853/117, 686/468) = 494458510

LCM of 845/599, 853/117, 686/468

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 845/599,853/117,686/468

Given numbers are 845/599,853/117,686/468

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 845,853,686

Least Common Multiple of Numerators i.e. LCM of 845,853,686 is 494458510.

GCF of Denominators means GCF of 599,117,468 as per the given fractions.

GCF of 599,117,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 845,853,686

LCM of Fractions 845/599,853/117,686/468 is 494458510

Given numbers has no common factors except 1. So, there LCM is their product i.e 494458510

Least Common Multiple of 845,853,686 with GCF Formula

Least Common Multiple of 845,853,686 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 845,853,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,853,686) = 1

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

GCF(845,853,686) x common factors =1 x 1 = 1

LCM(845,853,686) = ( 845 × 853 × 686 ) / 1

LCM(845,853,686) = 494458510 / 1

LCM(845,853,686) = 494458510


Lets's calculate GCF of 599,117,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494458510/1

Therefore the LCM of Fractions 845/599,853/117,686/468 is 494458510

Greatest Common Factor of 599,117,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,117,468 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

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

Greatest Common Factor

We found the factors 599,117,468 . The biggest common factor number is the GCF number.
So the greatest common factor 599,117,468 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 845/599, 853/117, 686/468

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 845/599, 853/117, 686/468?

Answer: LCM of Numerators as per given numbers 845/599, 853/117, 686/468 is

LCM of Numerators i.e. for 845,853,686 is 494458510

GCF of denominators i.e. for 599,117,468 is 1.

Thus, LCM of Fractions is 494458510.Finally, LCM of Fractions for 845/599, 853/117, 686/468 is 494458510.