Least Common Multiple of 510/608, 706/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/608, 706/432 quickly i.e. 180030/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/608, 706/432 is 180030/16.

LCM(510/608, 706/432) = 180030/16

LCM of 510/608, 706/432

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 510/608,706/432

Given numbers are 510/608,706/432

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 510,706

Least Common Multiple of Numerators i.e. LCM of 510,706 is 180030.

GCF of Denominators means GCF of 608,432 as per the given fractions.

GCF of 608,432 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,706

LCM of Fractions 510/608,706/432 is 180030/16

2 510, 706
255, 353

∴ So the LCM of the given numbers is 2 x 255 x 353 = 180030

Least Common Multiple of 510,706 with GCF Formula

Least Common Multiple of 510,706 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 510,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,706) = 2

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

GCF(510,706) x common factors =2 x 1 = 2

LCM(510,706) = ( 510 × 706 ) / 2

LCM(510,706) = 360060 / 2

LCM(510,706) = 180030


Lets's calculate GCF of 608,432

2 608, 432
2 304, 216
2 152, 108
2 76, 54
38, 27

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180030/16

Therefore the LCM of Fractions 510/608,706/432 is 180030/16

Greatest Common Factor of 608,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,432 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 608,432 . The biggest common factor number is the GCF number.
So the greatest common factor 608,432 is 16.


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 510/608, 706/432

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 510/608, 706/432?

Answer: LCM of Numerators as per given numbers 510/608, 706/432 is

LCM of Numerators i.e. for 510,706 is 180030

GCF of denominators i.e. for 608,432 is 16.

Thus, LCM of Fractions is 180030/16.Finally, LCM of Fractions for 510/608, 706/432 is 180030/16.