Least Common Multiple of 630/42, 933/14, 849/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 630/42, 933/14, 849/906 quickly i.e. 27724095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 630/42, 933/14, 849/906 is 27724095.

LCM(630/42, 933/14, 849/906) = 27724095

LCM of 630/42, 933/14, 849/906

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 630/42,933/14,849/906

Given numbers are 630/42,933/14,849/906

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 630,933,849

Least Common Multiple of Numerators i.e. LCM of 630,933,849 is 55448190.

GCF of Denominators means GCF of 42,14,906 as per the given fractions.

GCF of 42,14,906 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 630,933,849

LCM of Fractions 630/42,933/14,849/906 is 27724095

3 630, 933, 849
210, 311, 283

∴ So the LCM of the given numbers is 3 x 210 x 311 x 283 = 55448190

Least Common Multiple of 630,933,849 with GCF Formula

Least Common Multiple of 630,933,849 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 630,933,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,933,849) = 3

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

GCF(630,933,849) x common factors =3 x 3 = 9

LCM(630,933,849) = ( 630 × 933 × 849 ) / 9

LCM(630,933,849) = 499033710 / 9

LCM(630,933,849) = 55448190


Lets's calculate GCF of 42,14,906

2 42, 14, 906
21, 7, 453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55448190/2

Therefore the LCM of Fractions 630/42,933/14,849/906 is 27724095

Greatest Common Factor of 42,14,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,14,906 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 42,14,906 . The biggest common factor number is the GCF number.
So the greatest common factor 42,14,906 is 2.


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 630/42, 933/14, 849/906

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 630/42, 933/14, 849/906?

Answer: LCM of Numerators as per given numbers 630/42, 933/14, 849/906 is

LCM of Numerators i.e. for 630,933,849 is 55448190

GCF of denominators i.e. for 42,14,906 is 2.

Thus, LCM of Fractions is 27724095.Finally, LCM of Fractions for 630/42, 933/14, 849/906 is 27724095.