Least Common Multiple of 431/764, 864/899, 829/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/764, 864/899, 829/860 quickly i.e. 308706336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/764, 864/899, 829/860 is 308706336.

LCM(431/764, 864/899, 829/860) = 308706336

LCM of 431/764, 864/899, 829/860

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 431/764,864/899,829/860

Given numbers are 431/764,864/899,829/860

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 431,864,829

Least Common Multiple of Numerators i.e. LCM of 431,864,829 is 308706336.

GCF of Denominators means GCF of 764,899,860 as per the given fractions.

GCF of 764,899,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,864,829

LCM of Fractions 431/764,864/899,829/860 is 308706336

Given numbers has no common factors except 1. So, there LCM is their product i.e 308706336

Least Common Multiple of 431,864,829 with GCF Formula

Least Common Multiple of 431,864,829 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 431,864,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,864,829) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(431,864,829) x common factors =1 x 1 = 1

LCM(431,864,829) = ( 431 × 864 × 829 ) / 1

LCM(431,864,829) = 308706336 / 1

LCM(431,864,829) = 308706336


Lets's calculate GCF of 764,899,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308706336/1

Therefore the LCM of Fractions 431/764,864/899,829/860 is 308706336

Greatest Common Factor of 764,899,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,899,860 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 764,899,860 . The biggest common factor number is the GCF number.
So the greatest common factor 764,899,860 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 431/764, 864/899, 829/860

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 431/764, 864/899, 829/860?

Answer: LCM of Numerators as per given numbers 431/764, 864/899, 829/860 is

LCM of Numerators i.e. for 431,864,829 is 308706336

GCF of denominators i.e. for 764,899,860 is 1.

Thus, LCM of Fractions is 308706336.Finally, LCM of Fractions for 431/764, 864/899, 829/860 is 308706336.