Least Common Multiple of 605/288, 425/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 605/288, 425/156 quickly i.e. 51425/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/288, 425/156 is 51425/12.

LCM(605/288, 425/156) = 51425/12

LCM of 605/288, 425/156

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 605/288,425/156

Given numbers are 605/288,425/156

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 605,425

Least Common Multiple of Numerators i.e. LCM of 605,425 is 51425.

GCF of Denominators means GCF of 288,156 as per the given fractions.

GCF of 288,156 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,425

LCM of Fractions 605/288,425/156 is 51425/12

5 605, 425
121, 85

∴ So the LCM of the given numbers is 5 x 121 x 85 = 51425

Least Common Multiple of 605,425 with GCF Formula

Least Common Multiple of 605,425 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 605,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,425) = 5

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

GCF(605,425) x common factors =5 x 1 = 5

LCM(605,425) = ( 605 × 425 ) / 5

LCM(605,425) = 257125 / 5

LCM(605,425) = 51425


Lets's calculate GCF of 288,156

2 288, 156
2 144, 78
3 72, 39
24, 13

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51425/12

Therefore the LCM of Fractions 605/288,425/156 is 51425/12

Greatest Common Factor of 288,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,156 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 288,156 . The biggest common factor number is the GCF number.
So the greatest common factor 288,156 is 12.


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 605/288, 425/156

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 605/288, 425/156?

Answer: LCM of Numerators as per given numbers 605/288, 425/156 is

LCM of Numerators i.e. for 605,425 is 51425

GCF of denominators i.e. for 288,156 is 12.

Thus, LCM of Fractions is 51425/12.Finally, LCM of Fractions for 605/288, 425/156 is 51425/12.