Least Common Multiple of 312/805, 7605/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/805, 7605/620 quickly i.e. 12168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/805, 7605/620 is 12168.

LCM(312/805, 7605/620) = 12168

LCM of 312/805, 7605/620

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 312/805,7605/620

Given numbers are 312/805,7605/620

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 312,7605

Least Common Multiple of Numerators i.e. LCM of 312,7605 is 60840.

GCF of Denominators means GCF of 805,620 as per the given fractions.

GCF of 805,620 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,7605

LCM of Fractions 312/805,7605/620 is 12168

3 312, 7605
13 104, 2535
8, 195

∴ So the LCM of the given numbers is 3 x 13 x 8 x 195 = 60840

Least Common Multiple of 312,7605 with GCF Formula

Least Common Multiple of 312,7605 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 312,7605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,7605) = 39

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

GCF(312,7605) x common factors =39 x 1 = 39

LCM(312,7605) = ( 312 × 7605 ) / 39

LCM(312,7605) = 2372760 / 39

LCM(312,7605) = 60840


Lets's calculate GCF of 805,620

5 805, 620
161, 124

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60840/5

Therefore the LCM of Fractions 312/805,7605/620 is 12168

Greatest Common Factor of 805,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,620 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 805,620 . The biggest common factor number is the GCF number.
So the greatest common factor 805,620 is 5.


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 312/805, 7605/620

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 312/805, 7605/620?

Answer: LCM of Numerators as per given numbers 312/805, 7605/620 is

LCM of Numerators i.e. for 312,7605 is 60840

GCF of denominators i.e. for 805,620 is 5.

Thus, LCM of Fractions is 12168.Finally, LCM of Fractions for 312/805, 7605/620 is 12168.