Least Common Multiple of 78/818, 753/79, 808/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/818, 753/79, 808/338 quickly i.e. 7909512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/818, 753/79, 808/338 is 7909512.

LCM(78/818, 753/79, 808/338) = 7909512

LCM of 78/818, 753/79, 808/338

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 78/818,753/79,808/338

Given numbers are 78/818,753/79,808/338

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 78,753,808

Least Common Multiple of Numerators i.e. LCM of 78,753,808 is 7909512.

GCF of Denominators means GCF of 818,79,338 as per the given fractions.

GCF of 818,79,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,753,808

LCM of Fractions 78/818,753/79,808/338 is 7909512

2 78, 753, 808
3 39, 753, 404
13, 251, 404

∴ So the LCM of the given numbers is 2 x 3 x 13 x 251 x 404 = 7909512

Least Common Multiple of 78,753,808 with GCF Formula

Least Common Multiple of 78,753,808 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 78,753,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,753,808) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,753,808) x common factors =1 x 6 = 6

LCM(78,753,808) = ( 78 × 753 × 808 ) / 6

LCM(78,753,808) = 47457072 / 6

LCM(78,753,808) = 7909512


Lets's calculate GCF of 818,79,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7909512/1

Therefore the LCM of Fractions 78/818,753/79,808/338 is 7909512

Greatest Common Factor of 818,79,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,79,338 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 818,79,338 . The biggest common factor number is the GCF number.
So the greatest common factor 818,79,338 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 78/818, 753/79, 808/338

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 78/818, 753/79, 808/338?

Answer: LCM of Numerators as per given numbers 78/818, 753/79, 808/338 is

LCM of Numerators i.e. for 78,753,808 is 7909512

GCF of denominators i.e. for 818,79,338 is 1.

Thus, LCM of Fractions is 7909512.Finally, LCM of Fractions for 78/818, 753/79, 808/338 is 7909512.