Least Common Multiple of 65/769, 46/930, 334/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/769, 46/930, 334/528 quickly i.e. 499330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/769, 46/930, 334/528 is 499330.

LCM(65/769, 46/930, 334/528) = 499330

LCM of 65/769, 46/930, 334/528

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 65/769,46/930,334/528

Given numbers are 65/769,46/930,334/528

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 65,46,334

Least Common Multiple of Numerators i.e. LCM of 65,46,334 is 499330.

GCF of Denominators means GCF of 769,930,528 as per the given fractions.

GCF of 769,930,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,46,334

LCM of Fractions 65/769,46/930,334/528 is 499330

2 65, 46, 334
65, 23, 167

∴ So the LCM of the given numbers is 2 x 65 x 23 x 167 = 499330

Least Common Multiple of 65,46,334 with GCF Formula

Least Common Multiple of 65,46,334 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 65,46,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,46,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(65,46,334) x common factors =1 x 2 = 2

LCM(65,46,334) = ( 65 × 46 × 334 ) / 2

LCM(65,46,334) = 998660 / 2

LCM(65,46,334) = 499330


Lets's calculate GCF of 769,930,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499330/1

Therefore the LCM of Fractions 65/769,46/930,334/528 is 499330

Greatest Common Factor of 769,930,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,930,528 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 769,930,528 . The biggest common factor number is the GCF number.
So the greatest common factor 769,930,528 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 65/769, 46/930, 334/528

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 65/769, 46/930, 334/528?

Answer: LCM of Numerators as per given numbers 65/769, 46/930, 334/528 is

LCM of Numerators i.e. for 65,46,334 is 499330

GCF of denominators i.e. for 769,930,528 is 1.

Thus, LCM of Fractions is 499330.Finally, LCM of Fractions for 65/769, 46/930, 334/528 is 499330.