Least Common Multiple of 829/51, 551/8733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/51, 551/8733 quickly i.e. 456779/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/51, 551/8733 is 456779/3.

LCM(829/51, 551/8733) = 456779/3

LCM of 829/51, 551/8733

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 829/51,551/8733

Given numbers are 829/51,551/8733

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 829,551

Least Common Multiple of Numerators i.e. LCM of 829,551 is 456779.

GCF of Denominators means GCF of 51,8733 as per the given fractions.

GCF of 51,8733 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,551

LCM of Fractions 829/51,551/8733 is 456779/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 456779

Least Common Multiple of 829,551 with GCF Formula

Least Common Multiple of 829,551 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 829,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,551) = 1

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

GCF(829,551) x common factors =1 x 1 = 1

LCM(829,551) = ( 829 × 551 ) / 1

LCM(829,551) = 456779 / 1

LCM(829,551) = 456779


Lets's calculate GCF of 51,8733

3 51, 8733
17, 2911

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456779/3

Therefore the LCM of Fractions 829/51,551/8733 is 456779/3

Greatest Common Factor of 51,8733 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,8733 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 8733

List of positive integer factors of 8733 that divides 8733 without a remainder.

1,3,41,71,123,213,2911,8733

Greatest Common Factor

We found the factors 51,8733 . The biggest common factor number is the GCF number.
So the greatest common factor 51,8733 is 3.


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 829/51, 551/8733

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 829/51, 551/8733?

Answer: LCM of Numerators as per given numbers 829/51, 551/8733 is

LCM of Numerators i.e. for 829,551 is 456779

GCF of denominators i.e. for 51,8733 is 3.

Thus, LCM of Fractions is 456779/3.Finally, LCM of Fractions for 829/51, 551/8733 is 456779/3.