Least Common Multiple of 341/12, 888/34, 381/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 341/12, 888/34, 381/354 quickly i.e. 19228308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/12, 888/34, 381/354 is 19228308.

LCM(341/12, 888/34, 381/354) = 19228308

LCM of 341/12, 888/34, 381/354

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 341/12,888/34,381/354

Given numbers are 341/12,888/34,381/354

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 341,888,381

Least Common Multiple of Numerators i.e. LCM of 341,888,381 is 38456616.

GCF of Denominators means GCF of 12,34,354 as per the given fractions.

GCF of 12,34,354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,888,381

LCM of Fractions 341/12,888/34,381/354 is 19228308

3 341, 888, 381
341, 296, 127

∴ So the LCM of the given numbers is 3 x 341 x 296 x 127 = 38456616

Least Common Multiple of 341,888,381 with GCF Formula

Least Common Multiple of 341,888,381 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 341,888,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,888,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(341,888,381) x common factors =1 x 3 = 3

LCM(341,888,381) = ( 341 × 888 × 381 ) / 3

LCM(341,888,381) = 115369848 / 3

LCM(341,888,381) = 38456616


Lets's calculate GCF of 12,34,354

2 12, 34, 354
6, 17, 177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38456616/2

Therefore the LCM of Fractions 341/12,888/34,381/354 is 19228308

Greatest Common Factor of 12,34,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,34,354 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 12,34,354 . The biggest common factor number is the GCF number.
So the greatest common factor 12,34,354 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 341/12, 888/34, 381/354

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 341/12, 888/34, 381/354?

Answer: LCM of Numerators as per given numbers 341/12, 888/34, 381/354 is

LCM of Numerators i.e. for 341,888,381 is 38456616

GCF of denominators i.e. for 12,34,354 is 2.

Thus, LCM of Fractions is 19228308.Finally, LCM of Fractions for 341/12, 888/34, 381/354 is 19228308.