Least Common Multiple of 440/78, 106/2561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 440/78, 106/2561 quickly i.e. 23320/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/78, 106/2561 is 23320/13.

LCM(440/78, 106/2561) = 23320/13

LCM of 440/78, 106/2561

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 440/78,106/2561

Given numbers are 440/78,106/2561

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 440,106

Least Common Multiple of Numerators i.e. LCM of 440,106 is 23320.

GCF of Denominators means GCF of 78,2561 as per the given fractions.

GCF of 78,2561 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,106

LCM of Fractions 440/78,106/2561 is 23320/13

2 440, 106
220, 53

∴ So the LCM of the given numbers is 2 x 220 x 53 = 23320

Least Common Multiple of 440,106 with GCF Formula

Least Common Multiple of 440,106 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 440,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,106) = 2

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

GCF(440,106) x common factors =2 x 1 = 2

LCM(440,106) = ( 440 × 106 ) / 2

LCM(440,106) = 46640 / 2

LCM(440,106) = 23320


Lets's calculate GCF of 78,2561

13 78, 2561
6, 197

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23320/13

Therefore the LCM of Fractions 440/78,106/2561 is 23320/13

Greatest Common Factor of 78,2561 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,2561 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 2561

List of positive integer factors of 2561 that divides 2561 without a remainder.

1,13,197,2561

Greatest Common Factor

We found the factors 78,2561 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2561 is 13.


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 440/78, 106/2561

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 440/78, 106/2561?

Answer: LCM of Numerators as per given numbers 440/78, 106/2561 is

LCM of Numerators i.e. for 440,106 is 23320

GCF of denominators i.e. for 78,2561 is 13.

Thus, LCM of Fractions is 23320/13.Finally, LCM of Fractions for 440/78, 106/2561 is 23320/13.