Least Common Multiple of 678/418, 598/363, 767/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/418, 598/363, 767/303 quickly i.e. 11960598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/418, 598/363, 767/303 is 11960598.

LCM(678/418, 598/363, 767/303) = 11960598

LCM of 678/418, 598/363, 767/303

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 678/418,598/363,767/303

Given numbers are 678/418,598/363,767/303

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 678,598,767

Least Common Multiple of Numerators i.e. LCM of 678,598,767 is 11960598.

GCF of Denominators means GCF of 418,363,303 as per the given fractions.

GCF of 418,363,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,598,767

LCM of Fractions 678/418,598/363,767/303 is 11960598

2 678, 598, 767
13 339, 299, 767
339, 23, 59

∴ So the LCM of the given numbers is 2 x 13 x 339 x 23 x 59 = 11960598

Least Common Multiple of 678,598,767 with GCF Formula

Least Common Multiple of 678,598,767 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 678,598,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,598,767) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(678,598,767) x common factors =1 x 26 = 26

LCM(678,598,767) = ( 678 × 598 × 767 ) / 26

LCM(678,598,767) = 310975548 / 26

LCM(678,598,767) = 11960598


Lets's calculate GCF of 418,363,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11960598/1

Therefore the LCM of Fractions 678/418,598/363,767/303 is 11960598

Greatest Common Factor of 418,363,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,363,303 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 418,363,303 . The biggest common factor number is the GCF number.
So the greatest common factor 418,363,303 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 678/418, 598/363, 767/303

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 678/418, 598/363, 767/303?

Answer: LCM of Numerators as per given numbers 678/418, 598/363, 767/303 is

LCM of Numerators i.e. for 678,598,767 is 11960598

GCF of denominators i.e. for 418,363,303 is 1.

Thus, LCM of Fractions is 11960598.Finally, LCM of Fractions for 678/418, 598/363, 767/303 is 11960598.