Least Common Multiple of 43/29, 802/72, 973/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/29, 802/72, 973/982 quickly i.e. 33554878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/29, 802/72, 973/982 is 33554878.

LCM(43/29, 802/72, 973/982) = 33554878

LCM of 43/29, 802/72, 973/982

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 43/29,802/72,973/982

Given numbers are 43/29,802/72,973/982

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 43,802,973

Least Common Multiple of Numerators i.e. LCM of 43,802,973 is 33554878.

GCF of Denominators means GCF of 29,72,982 as per the given fractions.

GCF of 29,72,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,802,973

LCM of Fractions 43/29,802/72,973/982 is 33554878

Given numbers has no common factors except 1. So, there LCM is their product i.e 33554878

Least Common Multiple of 43,802,973 with GCF Formula

Least Common Multiple of 43,802,973 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 43,802,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,802,973) = 1

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

GCF(43,802,973) x common factors =1 x 1 = 1

LCM(43,802,973) = ( 43 × 802 × 973 ) / 1

LCM(43,802,973) = 33554878 / 1

LCM(43,802,973) = 33554878


Lets's calculate GCF of 29,72,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33554878/1

Therefore the LCM of Fractions 43/29,802/72,973/982 is 33554878

Greatest Common Factor of 29,72,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,72,982 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 29,72,982 . The biggest common factor number is the GCF number.
So the greatest common factor 29,72,982 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/29, 802/72, 973/982

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 43/29, 802/72, 973/982?

Answer: LCM of Numerators as per given numbers 43/29, 802/72, 973/982 is

LCM of Numerators i.e. for 43,802,973 is 33554878

GCF of denominators i.e. for 29,72,982 is 1.

Thus, LCM of Fractions is 33554878.Finally, LCM of Fractions for 43/29, 802/72, 973/982 is 33554878.