Least Common Multiple of 3534/546, 5834/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3534/546, 5834/819 quickly i.e. 10308678/273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3534/546, 5834/819 is 10308678/273.

LCM(3534/546, 5834/819) = 10308678/273

LCM of 3534/546, 5834/819

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 3534/546,5834/819

Given numbers are 3534/546,5834/819

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 3534,5834

Least Common Multiple of Numerators i.e. LCM of 3534,5834 is 10308678.

GCF of Denominators means GCF of 546,819 as per the given fractions.

GCF of 546,819 is 273 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3534,5834

LCM of Fractions 3534/546,5834/819 is 10308678/273

2 3534, 5834
1767, 2917

∴ So the LCM of the given numbers is 2 x 1767 x 2917 = 10308678

Least Common Multiple of 3534,5834 with GCF Formula

Least Common Multiple of 3534,5834 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 3534,5834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3534,5834) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(3534,5834) x common factors =2 x 1 = 2

LCM(3534,5834) = ( 3534 × 5834 ) / 2

LCM(3534,5834) = 20617356 / 2

LCM(3534,5834) = 10308678


Lets's calculate GCF of 546,819

3 546, 819
7 182, 273
13 26, 39
2, 3

∴ So the GCF of the given numbers is 3 x 7 x 13 = 273

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10308678/273

Therefore the LCM of Fractions 3534/546,5834/819 is 10308678/273

Greatest Common Factor of 546,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,819 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 546,819 . The biggest common factor number is the GCF number.
So the greatest common factor 546,819 is 273.


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 3534/546, 5834/819

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 3534/546, 5834/819?

Answer: LCM of Numerators as per given numbers 3534/546, 5834/819 is

LCM of Numerators i.e. for 3534,5834 is 10308678

GCF of denominators i.e. for 546,819 is 273.

Thus, LCM of Fractions is 10308678/273.Finally, LCM of Fractions for 3534/546, 5834/819 is 10308678/273.