Least Common Multiple of 829/852, 734/399, 787/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/852, 734/399, 787/826 quickly i.e. 478878482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/852, 734/399, 787/826 is 478878482.

LCM(829/852, 734/399, 787/826) = 478878482

LCM of 829/852, 734/399, 787/826

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 829/852,734/399,787/826

Given numbers are 829/852,734/399,787/826

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 829,734,787

Least Common Multiple of Numerators i.e. LCM of 829,734,787 is 478878482.

GCF of Denominators means GCF of 852,399,826 as per the given fractions.

GCF of 852,399,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,734,787

LCM of Fractions 829/852,734/399,787/826 is 478878482

Given numbers has no common factors except 1. So, there LCM is their product i.e 478878482

Least Common Multiple of 829,734,787 with GCF Formula

Least Common Multiple of 829,734,787 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 829,734,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,734,787) = 1

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

GCF(829,734,787) x common factors =1 x 1 = 1

LCM(829,734,787) = ( 829 × 734 × 787 ) / 1

LCM(829,734,787) = 478878482 / 1

LCM(829,734,787) = 478878482


Lets's calculate GCF of 852,399,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478878482/1

Therefore the LCM of Fractions 829/852,734/399,787/826 is 478878482

Greatest Common Factor of 852,399,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,399,826 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 852,399,826 . The biggest common factor number is the GCF number.
So the greatest common factor 852,399,826 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 829/852, 734/399, 787/826

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 829/852, 734/399, 787/826?

Answer: LCM of Numerators as per given numbers 829/852, 734/399, 787/826 is

LCM of Numerators i.e. for 829,734,787 is 478878482

GCF of denominators i.e. for 852,399,826 is 1.

Thus, LCM of Fractions is 478878482.Finally, LCM of Fractions for 829/852, 734/399, 787/826 is 478878482.