Least Common Multiple of 4677/408, 8585/1698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4677/408, 8585/1698 quickly i.e. 40152045/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4677/408, 8585/1698 is 40152045/6.

LCM(4677/408, 8585/1698) = 40152045/6

LCM of 4677/408, 8585/1698

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 4677/408,8585/1698

Given numbers are 4677/408,8585/1698

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 4677,8585

Least Common Multiple of Numerators i.e. LCM of 4677,8585 is 40152045.

GCF of Denominators means GCF of 408,1698 as per the given fractions.

GCF of 408,1698 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4677,8585

LCM of Fractions 4677/408,8585/1698 is 40152045/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 40152045

Least Common Multiple of 4677,8585 with GCF Formula

Least Common Multiple of 4677,8585 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 4677,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4677,8585) = 1

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

GCF(4677,8585) x common factors =1 x 1 = 1

LCM(4677,8585) = ( 4677 × 8585 ) / 1

LCM(4677,8585) = 40152045 / 1

LCM(4677,8585) = 40152045


Lets's calculate GCF of 408,1698

2 408, 1698
3 204, 849
68, 283

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40152045/6

Therefore the LCM of Fractions 4677/408,8585/1698 is 40152045/6

Greatest Common Factor of 408,1698 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,1698 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1,2,3,6,283,566,849,1698

Greatest Common Factor

We found the factors 408,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 408,1698 is 6.


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 4677/408, 8585/1698

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 4677/408, 8585/1698?

Answer: LCM of Numerators as per given numbers 4677/408, 8585/1698 is

LCM of Numerators i.e. for 4677,8585 is 40152045

GCF of denominators i.e. for 408,1698 is 6.

Thus, LCM of Fractions is 40152045/6.Finally, LCM of Fractions for 4677/408, 8585/1698 is 40152045/6.