Least Common Multiple of 69/33, 762/72, 629/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/33, 762/72, 629/465 quickly i.e. 3674618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/33, 762/72, 629/465 is 3674618.

LCM(69/33, 762/72, 629/465) = 3674618

LCM of 69/33, 762/72, 629/465

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 69/33,762/72,629/465

Given numbers are 69/33,762/72,629/465

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 69,762,629

Least Common Multiple of Numerators i.e. LCM of 69,762,629 is 11023854.

GCF of Denominators means GCF of 33,72,465 as per the given fractions.

GCF of 33,72,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,762,629

LCM of Fractions 69/33,762/72,629/465 is 3674618

3 69, 762, 629
23, 254, 629

∴ So the LCM of the given numbers is 3 x 23 x 254 x 629 = 11023854

Least Common Multiple of 69,762,629 with GCF Formula

Least Common Multiple of 69,762,629 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 69,762,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,762,629) = 1

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

GCF(69,762,629) x common factors =1 x 3 = 3

LCM(69,762,629) = ( 69 × 762 × 629 ) / 3

LCM(69,762,629) = 33071562 / 3

LCM(69,762,629) = 11023854


Lets's calculate GCF of 33,72,465

3 33, 72, 465
11, 24, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11023854/3

Therefore the LCM of Fractions 69/33,762/72,629/465 is 3674618

Greatest Common Factor of 33,72,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,72,465 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 33,72,465 . The biggest common factor number is the GCF number.
So the greatest common factor 33,72,465 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 69/33, 762/72, 629/465

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 69/33, 762/72, 629/465?

Answer: LCM of Numerators as per given numbers 69/33, 762/72, 629/465 is

LCM of Numerators i.e. for 69,762,629 is 11023854

GCF of denominators i.e. for 33,72,465 is 3.

Thus, LCM of Fractions is 3674618.Finally, LCM of Fractions for 69/33, 762/72, 629/465 is 3674618.