Least Common Multiple of 906/10, 501/24, 171/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/10, 501/24, 171/663 quickly i.e. 8624214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/10, 501/24, 171/663 is 8624214.

LCM(906/10, 501/24, 171/663) = 8624214

LCM of 906/10, 501/24, 171/663

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 906/10,501/24,171/663

Given numbers are 906/10,501/24,171/663

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 906,501,171

Least Common Multiple of Numerators i.e. LCM of 906,501,171 is 8624214.

GCF of Denominators means GCF of 10,24,663 as per the given fractions.

GCF of 10,24,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,501,171

LCM of Fractions 906/10,501/24,171/663 is 8624214

3 906, 501, 171
302, 167, 57

∴ So the LCM of the given numbers is 3 x 302 x 167 x 57 = 8624214

Least Common Multiple of 906,501,171 with GCF Formula

Least Common Multiple of 906,501,171 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 906,501,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,501,171) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(906,501,171) x common factors =3 x 3 = 9

LCM(906,501,171) = ( 906 × 501 × 171 ) / 9

LCM(906,501,171) = 77617926 / 9

LCM(906,501,171) = 8624214


Lets's calculate GCF of 10,24,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8624214/1

Therefore the LCM of Fractions 906/10,501/24,171/663 is 8624214

Greatest Common Factor of 10,24,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,24,663 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 10,24,663 . The biggest common factor number is the GCF number.
So the greatest common factor 10,24,663 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 906/10, 501/24, 171/663

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 906/10, 501/24, 171/663?

Answer: LCM of Numerators as per given numbers 906/10, 501/24, 171/663 is

LCM of Numerators i.e. for 906,501,171 is 8624214

GCF of denominators i.e. for 10,24,663 is 1.

Thus, LCM of Fractions is 8624214.Finally, LCM of Fractions for 906/10, 501/24, 171/663 is 8624214.