Least Common Multiple of 906/42, 795/6312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/42, 795/6312 quickly i.e. 40015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/42, 795/6312 is 40015.

LCM(906/42, 795/6312) = 40015

LCM of 906/42, 795/6312

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 906/42,795/6312

Given numbers are 906/42,795/6312

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 906,795

Least Common Multiple of Numerators i.e. LCM of 906,795 is 240090.

GCF of Denominators means GCF of 42,6312 as per the given fractions.

GCF of 42,6312 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,795

LCM of Fractions 906/42,795/6312 is 40015

3 906, 795
302, 265

∴ So the LCM of the given numbers is 3 x 302 x 265 = 240090

Least Common Multiple of 906,795 with GCF Formula

Least Common Multiple of 906,795 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 906,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,795) = 3

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

GCF(906,795) x common factors =3 x 1 = 3

LCM(906,795) = ( 906 × 795 ) / 3

LCM(906,795) = 720270 / 3

LCM(906,795) = 240090


Lets's calculate GCF of 42,6312

2 42, 6312
3 21, 3156
7, 1052

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240090/6

Therefore the LCM of Fractions 906/42,795/6312 is 40015

Greatest Common Factor of 42,6312 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,6312 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 6312

List of positive integer factors of 6312 that divides 6312 without a remainder.

1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312

Greatest Common Factor

We found the factors 42,6312 . The biggest common factor number is the GCF number.
So the greatest common factor 42,6312 is 6.


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 906/42, 795/6312

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 906/42, 795/6312?

Answer: LCM of Numerators as per given numbers 906/42, 795/6312 is

LCM of Numerators i.e. for 906,795 is 240090

GCF of denominators i.e. for 42,6312 is 6.

Thus, LCM of Fractions is 40015.Finally, LCM of Fractions for 906/42, 795/6312 is 40015.