Least Common Multiple of 33/216, 932/702, 270/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/216, 932/702, 270/807 quickly i.e. 461340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/216, 932/702, 270/807 is 461340.

LCM(33/216, 932/702, 270/807) = 461340

LCM of 33/216, 932/702, 270/807

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 33/216,932/702,270/807

Given numbers are 33/216,932/702,270/807

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 33,932,270

Least Common Multiple of Numerators i.e. LCM of 33,932,270 is 1384020.

GCF of Denominators means GCF of 216,702,807 as per the given fractions.

GCF of 216,702,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,932,270

LCM of Fractions 33/216,932/702,270/807 is 461340

2 33, 932, 270
3 33, 466, 135
11, 466, 45

∴ So the LCM of the given numbers is 2 x 3 x 11 x 466 x 45 = 1384020

Least Common Multiple of 33,932,270 with GCF Formula

Least Common Multiple of 33,932,270 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 33,932,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,932,270) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(33,932,270) x common factors =1 x 6 = 6

LCM(33,932,270) = ( 33 × 932 × 270 ) / 6

LCM(33,932,270) = 8304120 / 6

LCM(33,932,270) = 1384020


Lets's calculate GCF of 216,702,807

3 216, 702, 807
72, 234, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1384020/3

Therefore the LCM of Fractions 33/216,932/702,270/807 is 461340

Greatest Common Factor of 216,702,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,702,807 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 216,702,807 . The biggest common factor number is the GCF number.
So the greatest common factor 216,702,807 is 3.


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 33/216, 932/702, 270/807

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 33/216, 932/702, 270/807?

Answer: LCM of Numerators as per given numbers 33/216, 932/702, 270/807 is

LCM of Numerators i.e. for 33,932,270 is 1384020

GCF of denominators i.e. for 216,702,807 is 3.

Thus, LCM of Fractions is 461340.Finally, LCM of Fractions for 33/216, 932/702, 270/807 is 461340.