Least Common Multiple of 3985/612, 5805/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3985/612, 5805/136 quickly i.e. 4626585/68 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3985/612, 5805/136 is 4626585/68.

LCM(3985/612, 5805/136) = 4626585/68

LCM of 3985/612, 5805/136

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 3985/612,5805/136

Given numbers are 3985/612,5805/136

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 3985,5805

Least Common Multiple of Numerators i.e. LCM of 3985,5805 is 4626585.

GCF of Denominators means GCF of 612,136 as per the given fractions.

GCF of 612,136 is 68 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3985,5805

LCM of Fractions 3985/612,5805/136 is 4626585/68

5 3985, 5805
797, 1161

∴ So the LCM of the given numbers is 5 x 797 x 1161 = 4626585

Least Common Multiple of 3985,5805 with GCF Formula

Least Common Multiple of 3985,5805 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 3985,5805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3985,5805) = 5

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

GCF(3985,5805) x common factors =5 x 1 = 5

LCM(3985,5805) = ( 3985 × 5805 ) / 5

LCM(3985,5805) = 23132925 / 5

LCM(3985,5805) = 4626585


Lets's calculate GCF of 612,136

2 612, 136
2 306, 68
17 153, 34
9, 2

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4626585/68

Therefore the LCM of Fractions 3985/612,5805/136 is 4626585/68

Greatest Common Factor of 612,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,136 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 612,136 . The biggest common factor number is the GCF number.
So the greatest common factor 612,136 is 68.


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 3985/612, 5805/136

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 3985/612, 5805/136?

Answer: LCM of Numerators as per given numbers 3985/612, 5805/136 is

LCM of Numerators i.e. for 3985,5805 is 4626585

GCF of denominators i.e. for 612,136 is 68.

Thus, LCM of Fractions is 4626585/68.Finally, LCM of Fractions for 3985/612, 5805/136 is 4626585/68.