Least Common Multiple of 47/61, 43/51, 98/12, 20/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/61, 43/51, 98/12, 20/843 quickly i.e. 1980580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/61, 43/51, 98/12, 20/843 is 1980580.

LCM(47/61, 43/51, 98/12, 20/843) = 1980580

LCM of 47/61, 43/51, 98/12, 20/843

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 47/61,43/51,98/12,20/843

Given numbers are 47/61,43/51,98/12,20/843

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 47,43,98,20

Least Common Multiple of Numerators i.e. LCM of 47,43,98,20 is 1980580.

GCF of Denominators means GCF of 61,51,12,843 as per the given fractions.

GCF of 61,51,12,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,43,98,20

LCM of Fractions 47/61,43/51,98/12,20/843 is 1980580

2 47, 43, 98, 20
47, 43, 49, 10

∴ So the LCM of the given numbers is 2 x 47 x 43 x 49 x 10 = 1980580

Least Common Multiple of 47,43,98,20 with GCF Formula

Least Common Multiple of 47,43,98,20 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 47,43,98,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,43,98,20) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,43,98,20) x common factors =1 x 2 = 2

LCM(47,43,98,20) = ( 47 × 43 × 98 × 20 ) / 2

LCM(47,43,98,20) = 3961160 / 2

LCM(47,43,98,20) = 1980580


Lets's calculate GCF of 61,51,12,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980580/1

Therefore the LCM of Fractions 47/61,43/51,98/12,20/843 is 1980580

Greatest Common Factor of 61,51,12,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,51,12,843 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 61,51,12,843 . The biggest common factor number is the GCF number.
So the greatest common factor 61,51,12,843 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 47/61, 43/51, 98/12, 20/843

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 47/61, 43/51, 98/12, 20/843?

Answer: LCM of Numerators as per given numbers 47/61, 43/51, 98/12, 20/843 is

LCM of Numerators i.e. for 47,43,98,20 is 1980580

GCF of denominators i.e. for 61,51,12,843 is 1.

Thus, LCM of Fractions is 1980580.Finally, LCM of Fractions for 47/61, 43/51, 98/12, 20/843 is 1980580.