Least Common Multiple of 33/12, 798/37, 630/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/12, 798/37, 630/733 quickly i.e. 131670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/12, 798/37, 630/733 is 131670.

LCM(33/12, 798/37, 630/733) = 131670

LCM of 33/12, 798/37, 630/733

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 33/12,798/37,630/733

Given numbers are 33/12,798/37,630/733

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 33,798,630

Least Common Multiple of Numerators i.e. LCM of 33,798,630 is 131670.

GCF of Denominators means GCF of 12,37,733 as per the given fractions.

GCF of 12,37,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,798,630

LCM of Fractions 33/12,798/37,630/733 is 131670

2 33, 798, 630
3 33, 399, 315
7 11, 133, 105
11, 19, 15

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 19 x 15 = 131670

Least Common Multiple of 33,798,630 with GCF Formula

Least Common Multiple of 33,798,630 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 33,798,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,798,630) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(33,798,630) x common factors =3 x 42 = 126

LCM(33,798,630) = ( 33 × 798 × 630 ) / 126

LCM(33,798,630) = 16590420 / 126

LCM(33,798,630) = 131670


Lets's calculate GCF of 12,37,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131670/1

Therefore the LCM of Fractions 33/12,798/37,630/733 is 131670

Greatest Common Factor of 12,37,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,37,733 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 12,37,733 . The biggest common factor number is the GCF number.
So the greatest common factor 12,37,733 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 33/12, 798/37, 630/733

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 33/12, 798/37, 630/733?

Answer: LCM of Numerators as per given numbers 33/12, 798/37, 630/733 is

LCM of Numerators i.e. for 33,798,630 is 131670

GCF of denominators i.e. for 12,37,733 is 1.

Thus, LCM of Fractions is 131670.Finally, LCM of Fractions for 33/12, 798/37, 630/733 is 131670.