Least Common Multiple of 33/65, 435/55, 618/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/65, 435/55, 618/917 quickly i.e. 985710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/65, 435/55, 618/917 is 985710.

LCM(33/65, 435/55, 618/917) = 985710

LCM of 33/65, 435/55, 618/917

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 33/65,435/55,618/917

Given numbers are 33/65,435/55,618/917

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 33,435,618

Least Common Multiple of Numerators i.e. LCM of 33,435,618 is 985710.

GCF of Denominators means GCF of 65,55,917 as per the given fractions.

GCF of 65,55,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,435,618

LCM of Fractions 33/65,435/55,618/917 is 985710

3 33, 435, 618
11, 145, 206

∴ So the LCM of the given numbers is 3 x 11 x 145 x 206 = 985710

Least Common Multiple of 33,435,618 with GCF Formula

Least Common Multiple of 33,435,618 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 33,435,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,435,618) = 3

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

GCF(33,435,618) x common factors =3 x 3 = 9

LCM(33,435,618) = ( 33 × 435 × 618 ) / 9

LCM(33,435,618) = 8871390 / 9

LCM(33,435,618) = 985710


Lets's calculate GCF of 65,55,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 985710/1

Therefore the LCM of Fractions 33/65,435/55,618/917 is 985710

Greatest Common Factor of 65,55,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,55,917 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 65,55,917 . The biggest common factor number is the GCF number.
So the greatest common factor 65,55,917 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/65, 435/55, 618/917

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 33/65, 435/55, 618/917?

Answer: LCM of Numerators as per given numbers 33/65, 435/55, 618/917 is

LCM of Numerators i.e. for 33,435,618 is 985710

GCF of denominators i.e. for 65,55,917 is 1.

Thus, LCM of Fractions is 985710.Finally, LCM of Fractions for 33/65, 435/55, 618/917 is 985710.