Least Common Multiple of 465/767, 355/699, 323/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/767, 355/699, 323/323 quickly i.e. 10663845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/767, 355/699, 323/323 is 10663845.

LCM(465/767, 355/699, 323/323) = 10663845

LCM of 465/767, 355/699, 323/323

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 465/767,355/699,323/323

Given numbers are 465/767,355/699,323/323

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 465,355,323

Least Common Multiple of Numerators i.e. LCM of 465,355,323 is 10663845.

GCF of Denominators means GCF of 767,699,323 as per the given fractions.

GCF of 767,699,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,355,323

LCM of Fractions 465/767,355/699,323/323 is 10663845

5 465, 355, 323
93, 71, 323

∴ So the LCM of the given numbers is 5 x 93 x 71 x 323 = 10663845

Least Common Multiple of 465,355,323 with GCF Formula

Least Common Multiple of 465,355,323 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 465,355,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,355,323) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(465,355,323) x common factors =1 x 5 = 5

LCM(465,355,323) = ( 465 × 355 × 323 ) / 5

LCM(465,355,323) = 53319225 / 5

LCM(465,355,323) = 10663845


Lets's calculate GCF of 767,699,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10663845/1

Therefore the LCM of Fractions 465/767,355/699,323/323 is 10663845

Greatest Common Factor of 767,699,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,699,323 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 767,699,323 . The biggest common factor number is the GCF number.
So the greatest common factor 767,699,323 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 465/767, 355/699, 323/323

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 465/767, 355/699, 323/323?

Answer: LCM of Numerators as per given numbers 465/767, 355/699, 323/323 is

LCM of Numerators i.e. for 465,355,323 is 10663845

GCF of denominators i.e. for 767,699,323 is 1.

Thus, LCM of Fractions is 10663845.Finally, LCM of Fractions for 465/767, 355/699, 323/323 is 10663845.