Least Common Multiple of 84/860, 789/996, 829/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/860, 789/996, 829/244 quickly i.e. 4578567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/860, 789/996, 829/244 is 4578567.

LCM(84/860, 789/996, 829/244) = 4578567

LCM of 84/860, 789/996, 829/244

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 84/860,789/996,829/244

Given numbers are 84/860,789/996,829/244

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 84,789,829

Least Common Multiple of Numerators i.e. LCM of 84,789,829 is 18314268.

GCF of Denominators means GCF of 860,996,244 as per the given fractions.

GCF of 860,996,244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,789,829

LCM of Fractions 84/860,789/996,829/244 is 4578567

3 84, 789, 829
28, 263, 829

∴ So the LCM of the given numbers is 3 x 28 x 263 x 829 = 18314268

Least Common Multiple of 84,789,829 with GCF Formula

Least Common Multiple of 84,789,829 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 84,789,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,789,829) = 1

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

GCF(84,789,829) x common factors =1 x 3 = 3

LCM(84,789,829) = ( 84 × 789 × 829 ) / 3

LCM(84,789,829) = 54942804 / 3

LCM(84,789,829) = 18314268


Lets's calculate GCF of 860,996,244

2 860, 996, 244
2 430, 498, 122
215, 249, 61

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18314268/4

Therefore the LCM of Fractions 84/860,789/996,829/244 is 4578567

Greatest Common Factor of 860,996,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,996,244 By Matching Biggest Common Factor Method

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

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 860,996,244 . The biggest common factor number is the GCF number.
So the greatest common factor 860,996,244 is 4.


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 84/860, 789/996, 829/244

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 84/860, 789/996, 829/244?

Answer: LCM of Numerators as per given numbers 84/860, 789/996, 829/244 is

LCM of Numerators i.e. for 84,789,829 is 18314268

GCF of denominators i.e. for 860,996,244 is 4.

Thus, LCM of Fractions is 4578567.Finally, LCM of Fractions for 84/860, 789/996, 829/244 is 4578567.