Least Common Multiple of 11/772, 65/435, 506/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/772, 65/435, 506/165 quickly i.e. 32890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/772, 65/435, 506/165 is 32890.

LCM(11/772, 65/435, 506/165) = 32890

LCM of 11/772, 65/435, 506/165

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 11/772,65/435,506/165

Given numbers are 11/772,65/435,506/165

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 11,65,506

Least Common Multiple of Numerators i.e. LCM of 11,65,506 is 32890.

GCF of Denominators means GCF of 772,435,165 as per the given fractions.

GCF of 772,435,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,65,506

LCM of Fractions 11/772,65/435,506/165 is 32890

11 11, 65, 506
1, 65, 46

∴ So the LCM of the given numbers is 11 x 1 x 65 x 46 = 32890

Least Common Multiple of 11,65,506 with GCF Formula

Least Common Multiple of 11,65,506 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 11,65,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,65,506) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,65,506) x common factors =1 x 11 = 11

LCM(11,65,506) = ( 11 × 65 × 506 ) / 11

LCM(11,65,506) = 361790 / 11

LCM(11,65,506) = 32890


Lets's calculate GCF of 772,435,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32890/1

Therefore the LCM of Fractions 11/772,65/435,506/165 is 32890

Greatest Common Factor of 772,435,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,435,165 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 772,435,165 . The biggest common factor number is the GCF number.
So the greatest common factor 772,435,165 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/772, 65/435, 506/165

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 11/772, 65/435, 506/165?

Answer: LCM of Numerators as per given numbers 11/772, 65/435, 506/165 is

LCM of Numerators i.e. for 11,65,506 is 32890

GCF of denominators i.e. for 772,435,165 is 1.

Thus, LCM of Fractions is 32890.Finally, LCM of Fractions for 11/772, 65/435, 506/165 is 32890.