Least Common Multiple of 336/48, 498/34, 713/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/48, 498/34, 713/133 quickly i.e. 19884144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/48, 498/34, 713/133 is 19884144.

LCM(336/48, 498/34, 713/133) = 19884144

LCM of 336/48, 498/34, 713/133

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 336/48,498/34,713/133

Given numbers are 336/48,498/34,713/133

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 336,498,713

Least Common Multiple of Numerators i.e. LCM of 336,498,713 is 19884144.

GCF of Denominators means GCF of 48,34,133 as per the given fractions.

GCF of 48,34,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,498,713

LCM of Fractions 336/48,498/34,713/133 is 19884144

2 336, 498, 713
3 168, 249, 713
56, 83, 713

∴ So the LCM of the given numbers is 2 x 3 x 56 x 83 x 713 = 19884144

Least Common Multiple of 336,498,713 with GCF Formula

Least Common Multiple of 336,498,713 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 336,498,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,498,713) = 1

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

GCF(336,498,713) x common factors =1 x 6 = 6

LCM(336,498,713) = ( 336 × 498 × 713 ) / 6

LCM(336,498,713) = 119304864 / 6

LCM(336,498,713) = 19884144


Lets's calculate GCF of 48,34,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19884144/1

Therefore the LCM of Fractions 336/48,498/34,713/133 is 19884144

Greatest Common Factor of 48,34,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,34,133 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 34

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

1,2,17,34

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 48,34,133 . The biggest common factor number is the GCF number.
So the greatest common factor 48,34,133 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 336/48, 498/34, 713/133

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 336/48, 498/34, 713/133?

Answer: LCM of Numerators as per given numbers 336/48, 498/34, 713/133 is

LCM of Numerators i.e. for 336,498,713 is 19884144

GCF of denominators i.e. for 48,34,133 is 1.

Thus, LCM of Fractions is 19884144.Finally, LCM of Fractions for 336/48, 498/34, 713/133 is 19884144.