Least Common Multiple of 818/783, 502/488, 670/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 818/783, 502/488, 670/678 quickly i.e. 68781530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/783, 502/488, 670/678 is 68781530.

LCM(818/783, 502/488, 670/678) = 68781530

LCM of 818/783, 502/488, 670/678

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 818/783,502/488,670/678

Given numbers are 818/783,502/488,670/678

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 818,502,670

Least Common Multiple of Numerators i.e. LCM of 818,502,670 is 68781530.

GCF of Denominators means GCF of 783,488,678 as per the given fractions.

GCF of 783,488,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,502,670

LCM of Fractions 818/783,502/488,670/678 is 68781530

2 818, 502, 670
409, 251, 335

∴ So the LCM of the given numbers is 2 x 409 x 251 x 335 = 68781530

Least Common Multiple of 818,502,670 with GCF Formula

Least Common Multiple of 818,502,670 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 818,502,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,502,670) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(818,502,670) x common factors =2 x 2 = 4

LCM(818,502,670) = ( 818 × 502 × 670 ) / 4

LCM(818,502,670) = 275126120 / 4

LCM(818,502,670) = 68781530


Lets's calculate GCF of 783,488,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68781530/1

Therefore the LCM of Fractions 818/783,502/488,670/678 is 68781530

Greatest Common Factor of 783,488,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,488,678 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 783,488,678 . The biggest common factor number is the GCF number.
So the greatest common factor 783,488,678 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 818/783, 502/488, 670/678

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 818/783, 502/488, 670/678?

Answer: LCM of Numerators as per given numbers 818/783, 502/488, 670/678 is

LCM of Numerators i.e. for 818,502,670 is 68781530

GCF of denominators i.e. for 783,488,678 is 1.

Thus, LCM of Fractions is 68781530.Finally, LCM of Fractions for 818/783, 502/488, 670/678 is 68781530.