Least Common Multiple of 769/829, 645/282, 318/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/829, 645/282, 318/801 quickly i.e. 52576530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/829, 645/282, 318/801 is 52576530.

LCM(769/829, 645/282, 318/801) = 52576530

LCM of 769/829, 645/282, 318/801

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 769/829,645/282,318/801

Given numbers are 769/829,645/282,318/801

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 769,645,318

Least Common Multiple of Numerators i.e. LCM of 769,645,318 is 52576530.

GCF of Denominators means GCF of 829,282,801 as per the given fractions.

GCF of 829,282,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,645,318

LCM of Fractions 769/829,645/282,318/801 is 52576530

3 769, 645, 318
769, 215, 106

∴ So the LCM of the given numbers is 3 x 769 x 215 x 106 = 52576530

Least Common Multiple of 769,645,318 with GCF Formula

Least Common Multiple of 769,645,318 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 769,645,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,645,318) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(769,645,318) x common factors =1 x 3 = 3

LCM(769,645,318) = ( 769 × 645 × 318 ) / 3

LCM(769,645,318) = 157729590 / 3

LCM(769,645,318) = 52576530


Lets's calculate GCF of 829,282,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52576530/1

Therefore the LCM of Fractions 769/829,645/282,318/801 is 52576530

Greatest Common Factor of 829,282,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,282,801 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 829,282,801 . The biggest common factor number is the GCF number.
So the greatest common factor 829,282,801 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 769/829, 645/282, 318/801

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 769/829, 645/282, 318/801?

Answer: LCM of Numerators as per given numbers 769/829, 645/282, 318/801 is

LCM of Numerators i.e. for 769,645,318 is 52576530

GCF of denominators i.e. for 829,282,801 is 1.

Thus, LCM of Fractions is 52576530.Finally, LCM of Fractions for 769/829, 645/282, 318/801 is 52576530.