Least Common Multiple of 2823/546, 3431/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2823/546, 3431/107 quickly i.e. 9685713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2823/546, 3431/107 is 9685713.

LCM(2823/546, 3431/107) = 9685713

LCM of 2823/546, 3431/107

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 2823/546,3431/107

Given numbers are 2823/546,3431/107

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 2823,3431

Least Common Multiple of Numerators i.e. LCM of 2823,3431 is 9685713.

GCF of Denominators means GCF of 546,107 as per the given fractions.

GCF of 546,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2823,3431

LCM of Fractions 2823/546,3431/107 is 9685713

Given numbers has no common factors except 1. So, there LCM is their product i.e 9685713

Least Common Multiple of 2823,3431 with GCF Formula

Least Common Multiple of 2823,3431 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 2823,3431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2823,3431) = 1

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

GCF(2823,3431) x common factors =1 x 1 = 1

LCM(2823,3431) = ( 2823 × 3431 ) / 1

LCM(2823,3431) = 9685713 / 1

LCM(2823,3431) = 9685713


Lets's calculate GCF of 546,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9685713/1

Therefore the LCM of Fractions 2823/546,3431/107 is 9685713

Greatest Common Factor of 546,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,107 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 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 546,107 . The biggest common factor number is the GCF number.
So the greatest common factor 546,107 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 2823/546, 3431/107

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 2823/546, 3431/107?

Answer: LCM of Numerators as per given numbers 2823/546, 3431/107 is

LCM of Numerators i.e. for 2823,3431 is 9685713

GCF of denominators i.e. for 546,107 is 1.

Thus, LCM of Fractions is 9685713.Finally, LCM of Fractions for 2823/546, 3431/107 is 9685713.