Least Common Multiple of 78/699, 76/816, 684/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/699, 76/816, 684/800 quickly i.e. 8892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/699, 76/816, 684/800 is 8892.

LCM(78/699, 76/816, 684/800) = 8892

LCM of 78/699, 76/816, 684/800

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 78/699,76/816,684/800

Given numbers are 78/699,76/816,684/800

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 78,76,684

Least Common Multiple of Numerators i.e. LCM of 78,76,684 is 8892.

GCF of Denominators means GCF of 699,816,800 as per the given fractions.

GCF of 699,816,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,76,684

LCM of Fractions 78/699,76/816,684/800 is 8892

2 78, 76, 684
2 39, 38, 342
3 39, 19, 171
19 13, 19, 57
13, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 13 x 1 x 3 = 8892

Least Common Multiple of 78,76,684 with GCF Formula

Least Common Multiple of 78,76,684 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 78,76,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,76,684) = 2

common factors(in case of two or more numbers have common factors) = 228

GCF(78,76,684) x common factors =2 x 228 = 456

LCM(78,76,684) = ( 78 × 76 × 684 ) / 456

LCM(78,76,684) = 4054752 / 456

LCM(78,76,684) = 8892


Lets's calculate GCF of 699,816,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8892/1

Therefore the LCM of Fractions 78/699,76/816,684/800 is 8892

Greatest Common Factor of 699,816,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,816,800 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

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

Greatest Common Factor

We found the factors 699,816,800 . The biggest common factor number is the GCF number.
So the greatest common factor 699,816,800 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 78/699, 76/816, 684/800

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 78/699, 76/816, 684/800?

Answer: LCM of Numerators as per given numbers 78/699, 76/816, 684/800 is

LCM of Numerators i.e. for 78,76,684 is 8892

GCF of denominators i.e. for 699,816,800 is 1.

Thus, LCM of Fractions is 8892.Finally, LCM of Fractions for 78/699, 76/816, 684/800 is 8892.