Least Common Multiple of 845/90, 499/37, 517/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 845/90, 499/37, 517/424 quickly i.e. 217995635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 845/90, 499/37, 517/424 is 217995635.

LCM(845/90, 499/37, 517/424) = 217995635

LCM of 845/90, 499/37, 517/424

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 845/90,499/37,517/424

Given numbers are 845/90,499/37,517/424

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 845,499,517

Least Common Multiple of Numerators i.e. LCM of 845,499,517 is 217995635.

GCF of Denominators means GCF of 90,37,424 as per the given fractions.

GCF of 90,37,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 845,499,517

LCM of Fractions 845/90,499/37,517/424 is 217995635

Given numbers has no common factors except 1. So, there LCM is their product i.e 217995635

Least Common Multiple of 845,499,517 with GCF Formula

Least Common Multiple of 845,499,517 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 845,499,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,499,517) = 1

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

GCF(845,499,517) x common factors =1 x 1 = 1

LCM(845,499,517) = ( 845 × 499 × 517 ) / 1

LCM(845,499,517) = 217995635 / 1

LCM(845,499,517) = 217995635


Lets's calculate GCF of 90,37,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217995635/1

Therefore the LCM of Fractions 845/90,499/37,517/424 is 217995635

Greatest Common Factor of 90,37,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,37,424 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 90,37,424 . The biggest common factor number is the GCF number.
So the greatest common factor 90,37,424 is 1.


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Frequently Asked Questions on Fractional LCM of 845/90, 499/37, 517/424

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 845/90, 499/37, 517/424?

Answer: LCM of Numerators as per given numbers 845/90, 499/37, 517/424 is

LCM of Numerators i.e. for 845,499,517 is 217995635

GCF of denominators i.e. for 90,37,424 is 1.

Thus, LCM of Fractions is 217995635.Finally, LCM of Fractions for 845/90, 499/37, 517/424 is 217995635.