Least Common Multiple of 334/15, 812/84, 319/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/15, 812/84, 319/54 quickly i.e. 1491644/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/15, 812/84, 319/54 is 1491644/3.

LCM(334/15, 812/84, 319/54) = 1491644/3

LCM of 334/15, 812/84, 319/54

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 334/15,812/84,319/54

Given numbers are 334/15,812/84,319/54

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 334,812,319

Least Common Multiple of Numerators i.e. LCM of 334,812,319 is 1491644.

GCF of Denominators means GCF of 15,84,54 as per the given fractions.

GCF of 15,84,54 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,812,319

LCM of Fractions 334/15,812/84,319/54 is 1491644/3

2 334, 812, 319
29 167, 406, 319
167, 14, 11

∴ So the LCM of the given numbers is 2 x 29 x 167 x 14 x 11 = 1491644

Least Common Multiple of 334,812,319 with GCF Formula

Least Common Multiple of 334,812,319 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 334,812,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,812,319) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(334,812,319) x common factors =1 x 58 = 58

LCM(334,812,319) = ( 334 × 812 × 319 ) / 58

LCM(334,812,319) = 86515352 / 58

LCM(334,812,319) = 1491644


Lets's calculate GCF of 15,84,54

3 15, 84, 54
5, 28, 18

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1491644/3

Therefore the LCM of Fractions 334/15,812/84,319/54 is 1491644/3

Greatest Common Factor of 15,84,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,84,54 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 15,84,54 . The biggest common factor number is the GCF number.
So the greatest common factor 15,84,54 is 3.


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 334/15, 812/84, 319/54

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 334/15, 812/84, 319/54?

Answer: LCM of Numerators as per given numbers 334/15, 812/84, 319/54 is

LCM of Numerators i.e. for 334,812,319 is 1491644

GCF of denominators i.e. for 15,84,54 is 3.

Thus, LCM of Fractions is 1491644/3.Finally, LCM of Fractions for 334/15, 812/84, 319/54 is 1491644/3.