Least Common Multiple of 43/84, 61/244, 289/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/84, 61/244, 289/260 quickly i.e. 758047/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/84, 61/244, 289/260 is 758047/4.

LCM(43/84, 61/244, 289/260) = 758047/4

LCM of 43/84, 61/244, 289/260

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 43/84,61/244,289/260

Given numbers are 43/84,61/244,289/260

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 43,61,289

Least Common Multiple of Numerators i.e. LCM of 43,61,289 is 758047.

GCF of Denominators means GCF of 84,244,260 as per the given fractions.

GCF of 84,244,260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,61,289

LCM of Fractions 43/84,61/244,289/260 is 758047/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 758047

Least Common Multiple of 43,61,289 with GCF Formula

Least Common Multiple of 43,61,289 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 43,61,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,61,289) = 1

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

GCF(43,61,289) x common factors =1 x 1 = 1

LCM(43,61,289) = ( 43 × 61 × 289 ) / 1

LCM(43,61,289) = 758047 / 1

LCM(43,61,289) = 758047


Lets's calculate GCF of 84,244,260

2 84, 244, 260
2 42, 122, 130
21, 61, 65

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 758047/4

Therefore the LCM of Fractions 43/84,61/244,289/260 is 758047/4

Greatest Common Factor of 84,244,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,244,260 By Matching Biggest Common Factor Method

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 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 84,244,260 . The biggest common factor number is the GCF number.
So the greatest common factor 84,244,260 is 4.


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 43/84, 61/244, 289/260

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 43/84, 61/244, 289/260?

Answer: LCM of Numerators as per given numbers 43/84, 61/244, 289/260 is

LCM of Numerators i.e. for 43,61,289 is 758047

GCF of denominators i.e. for 84,244,260 is 4.

Thus, LCM of Fractions is 758047/4.Finally, LCM of Fractions for 43/84, 61/244, 289/260 is 758047/4.