Least Common Multiple of 43/97, 17/26, 82/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/97, 17/26, 82/487 quickly i.e. 59942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/97, 17/26, 82/487 is 59942.

LCM(43/97, 17/26, 82/487) = 59942

LCM of 43/97, 17/26, 82/487

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 43/97,17/26,82/487

Given numbers are 43/97,17/26,82/487

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 43,17,82

Least Common Multiple of Numerators i.e. LCM of 43,17,82 is 59942.

GCF of Denominators means GCF of 97,26,487 as per the given fractions.

GCF of 97,26,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,17,82

LCM of Fractions 43/97,17/26,82/487 is 59942

Given numbers has no common factors except 1. So, there LCM is their product i.e 59942

Least Common Multiple of 43,17,82 with GCF Formula

Least Common Multiple of 43,17,82 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 43,17,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,17,82) = 1

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

GCF(43,17,82) x common factors =1 x 1 = 1

LCM(43,17,82) = ( 43 × 17 × 82 ) / 1

LCM(43,17,82) = 59942 / 1

LCM(43,17,82) = 59942


Lets's calculate GCF of 97,26,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59942/1

Therefore the LCM of Fractions 43/97,17/26,82/487 is 59942

Greatest Common Factor of 97,26,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,26,487 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 97,26,487 . The biggest common factor number is the GCF number.
So the greatest common factor 97,26,487 is 1.


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Frequently Asked Questions on Fractional LCM of 43/97, 17/26, 82/487

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 43/97, 17/26, 82/487?

Answer: LCM of Numerators as per given numbers 43/97, 17/26, 82/487 is

LCM of Numerators i.e. for 43,17,82 is 59942

GCF of denominators i.e. for 97,26,487 is 1.

Thus, LCM of Fractions is 59942.Finally, LCM of Fractions for 43/97, 17/26, 82/487 is 59942.