Least Common Multiple of 510/432, 145/867, 812/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/432, 145/867, 812/359 quickly i.e. 207060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/432, 145/867, 812/359 is 207060.

LCM(510/432, 145/867, 812/359) = 207060

LCM of 510/432, 145/867, 812/359

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 510/432,145/867,812/359

Given numbers are 510/432,145/867,812/359

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 510,145,812

Least Common Multiple of Numerators i.e. LCM of 510,145,812 is 207060.

GCF of Denominators means GCF of 432,867,359 as per the given fractions.

GCF of 432,867,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,145,812

LCM of Fractions 510/432,145/867,812/359 is 207060

2 510, 145, 812
5 255, 145, 406
29 51, 29, 406
51, 1, 14

∴ So the LCM of the given numbers is 2 x 5 x 29 x 51 x 1 x 14 = 207060

Least Common Multiple of 510,145,812 with GCF Formula

Least Common Multiple of 510,145,812 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 510,145,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,145,812) = 1

common factors(in case of two or more numbers have common factors) = 290

GCF(510,145,812) x common factors =1 x 290 = 290

LCM(510,145,812) = ( 510 × 145 × 812 ) / 290

LCM(510,145,812) = 60047400 / 290

LCM(510,145,812) = 207060


Lets's calculate GCF of 432,867,359

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207060/1

Therefore the LCM of Fractions 510/432,145/867,812/359 is 207060

Greatest Common Factor of 432,867,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,867,359 By Matching Biggest Common Factor Method

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

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 432,867,359 . The biggest common factor number is the GCF number.
So the greatest common factor 432,867,359 is 1.


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 510/432, 145/867, 812/359

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 510/432, 145/867, 812/359?

Answer: LCM of Numerators as per given numbers 510/432, 145/867, 812/359 is

LCM of Numerators i.e. for 510,145,812 is 207060

GCF of denominators i.e. for 432,867,359 is 1.

Thus, LCM of Fractions is 207060.Finally, LCM of Fractions for 510/432, 145/867, 812/359 is 207060.