Least Common Multiple of 818/342, 138/872, 381/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 818/342, 138/872, 381/628 quickly i.e. 3584067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/342, 138/872, 381/628 is 3584067.

LCM(818/342, 138/872, 381/628) = 3584067

LCM of 818/342, 138/872, 381/628

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 818/342,138/872,381/628

Given numbers are 818/342,138/872,381/628

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 818,138,381

Least Common Multiple of Numerators i.e. LCM of 818,138,381 is 7168134.

GCF of Denominators means GCF of 342,872,628 as per the given fractions.

GCF of 342,872,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,138,381

LCM of Fractions 818/342,138/872,381/628 is 3584067

2 818, 138, 381
3 409, 69, 381
409, 23, 127

∴ So the LCM of the given numbers is 2 x 3 x 409 x 23 x 127 = 7168134

Least Common Multiple of 818,138,381 with GCF Formula

Least Common Multiple of 818,138,381 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 818,138,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,138,381) = 1

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

GCF(818,138,381) x common factors =1 x 6 = 6

LCM(818,138,381) = ( 818 × 138 × 381 ) / 6

LCM(818,138,381) = 43008804 / 6

LCM(818,138,381) = 7168134


Lets's calculate GCF of 342,872,628

2 342, 872, 628
171, 436, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7168134/2

Therefore the LCM of Fractions 818/342,138/872,381/628 is 3584067

Greatest Common Factor of 342,872,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,872,628 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 342,872,628 . The biggest common factor number is the GCF number.
So the greatest common factor 342,872,628 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 818/342, 138/872, 381/628

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 818/342, 138/872, 381/628?

Answer: LCM of Numerators as per given numbers 818/342, 138/872, 381/628 is

LCM of Numerators i.e. for 818,138,381 is 7168134

GCF of denominators i.e. for 342,872,628 is 2.

Thus, LCM of Fractions is 3584067.Finally, LCM of Fractions for 818/342, 138/872, 381/628 is 3584067.