Least Common Multiple of 152/80, 7885/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/80, 7885/205 quickly i.e. 12616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/80, 7885/205 is 12616.

LCM(152/80, 7885/205) = 12616

LCM of 152/80, 7885/205

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 152/80,7885/205

Given numbers are 152/80,7885/205

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 152,7885

Least Common Multiple of Numerators i.e. LCM of 152,7885 is 63080.

GCF of Denominators means GCF of 80,205 as per the given fractions.

GCF of 80,205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,7885

LCM of Fractions 152/80,7885/205 is 12616

19 152, 7885
8, 415

∴ So the LCM of the given numbers is 19 x 8 x 415 = 63080

Least Common Multiple of 152,7885 with GCF Formula

Least Common Multiple of 152,7885 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 152,7885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,7885) = 19

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

GCF(152,7885) x common factors =19 x 1 = 19

LCM(152,7885) = ( 152 × 7885 ) / 19

LCM(152,7885) = 1198520 / 19

LCM(152,7885) = 63080


Lets's calculate GCF of 80,205

5 80, 205
16, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63080/5

Therefore the LCM of Fractions 152/80,7885/205 is 12616

Greatest Common Factor of 80,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,205 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 80,205 . The biggest common factor number is the GCF number.
So the greatest common factor 80,205 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 152/80, 7885/205

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 152/80, 7885/205?

Answer: LCM of Numerators as per given numbers 152/80, 7885/205 is

LCM of Numerators i.e. for 152,7885 is 63080

GCF of denominators i.e. for 80,205 is 5.

Thus, LCM of Fractions is 12616.Finally, LCM of Fractions for 152/80, 7885/205 is 12616.