Least Common Multiple of 799/142, 416/800, 986/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 799/142, 416/800, 986/822 quickly i.e. 4819568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/142, 416/800, 986/822 is 4819568.

LCM(799/142, 416/800, 986/822) = 4819568

LCM of 799/142, 416/800, 986/822

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 799/142,416/800,986/822

Given numbers are 799/142,416/800,986/822

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 799,416,986

Least Common Multiple of Numerators i.e. LCM of 799,416,986 is 9639136.

GCF of Denominators means GCF of 142,800,822 as per the given fractions.

GCF of 142,800,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,416,986

LCM of Fractions 799/142,416/800,986/822 is 4819568

2 799, 416, 986
17 799, 208, 493
47, 208, 29

∴ So the LCM of the given numbers is 2 x 17 x 47 x 208 x 29 = 9639136

Least Common Multiple of 799,416,986 with GCF Formula

Least Common Multiple of 799,416,986 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 799,416,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,416,986) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(799,416,986) x common factors =1 x 34 = 34

LCM(799,416,986) = ( 799 × 416 × 986 ) / 34

LCM(799,416,986) = 327730624 / 34

LCM(799,416,986) = 9639136


Lets's calculate GCF of 142,800,822

2 142, 800, 822
71, 400, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9639136/2

Therefore the LCM of Fractions 799/142,416/800,986/822 is 4819568

Greatest Common Factor of 142,800,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,800,822 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 142,800,822 . The biggest common factor number is the GCF number.
So the greatest common factor 142,800,822 is 2.


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 799/142, 416/800, 986/822

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 799/142, 416/800, 986/822?

Answer: LCM of Numerators as per given numbers 799/142, 416/800, 986/822 is

LCM of Numerators i.e. for 799,416,986 is 9639136

GCF of denominators i.e. for 142,800,822 is 2.

Thus, LCM of Fractions is 4819568.Finally, LCM of Fractions for 799/142, 416/800, 986/822 is 4819568.