Least Common Multiple of 928/65, 406/82, 769/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/65, 406/82, 769/996 quickly i.e. 4995424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/65, 406/82, 769/996 is 4995424.

LCM(928/65, 406/82, 769/996) = 4995424

LCM of 928/65, 406/82, 769/996

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 928/65,406/82,769/996

Given numbers are 928/65,406/82,769/996

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 928,406,769

Least Common Multiple of Numerators i.e. LCM of 928,406,769 is 4995424.

GCF of Denominators means GCF of 65,82,996 as per the given fractions.

GCF of 65,82,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,406,769

LCM of Fractions 928/65,406/82,769/996 is 4995424

2 928, 406, 769
29 464, 203, 769
16, 7, 769

∴ So the LCM of the given numbers is 2 x 29 x 16 x 7 x 769 = 4995424

Least Common Multiple of 928,406,769 with GCF Formula

Least Common Multiple of 928,406,769 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 928,406,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,406,769) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(928,406,769) x common factors =1 x 58 = 58

LCM(928,406,769) = ( 928 × 406 × 769 ) / 58

LCM(928,406,769) = 289734592 / 58

LCM(928,406,769) = 4995424


Lets's calculate GCF of 65,82,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4995424/1

Therefore the LCM of Fractions 928/65,406/82,769/996 is 4995424

Greatest Common Factor of 65,82,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,82,996 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 65,82,996 . The biggest common factor number is the GCF number.
So the greatest common factor 65,82,996 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 928/65, 406/82, 769/996

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 928/65, 406/82, 769/996?

Answer: LCM of Numerators as per given numbers 928/65, 406/82, 769/996 is

LCM of Numerators i.e. for 928,406,769 is 4995424

GCF of denominators i.e. for 65,82,996 is 1.

Thus, LCM of Fractions is 4995424.Finally, LCM of Fractions for 928/65, 406/82, 769/996 is 4995424.