Least Common Multiple of 17/485, 503/997, 767/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/485, 503/997, 767/524 quickly i.e. 6558617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/485, 503/997, 767/524 is 6558617.

LCM(17/485, 503/997, 767/524) = 6558617

LCM of 17/485, 503/997, 767/524

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 17/485,503/997,767/524

Given numbers are 17/485,503/997,767/524

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 17,503,767

Least Common Multiple of Numerators i.e. LCM of 17,503,767 is 6558617.

GCF of Denominators means GCF of 485,997,524 as per the given fractions.

GCF of 485,997,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,503,767

LCM of Fractions 17/485,503/997,767/524 is 6558617

Given numbers has no common factors except 1. So, there LCM is their product i.e 6558617

Least Common Multiple of 17,503,767 with GCF Formula

Least Common Multiple of 17,503,767 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 17,503,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,503,767) = 1

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

GCF(17,503,767) x common factors =1 x 1 = 1

LCM(17,503,767) = ( 17 × 503 × 767 ) / 1

LCM(17,503,767) = 6558617 / 1

LCM(17,503,767) = 6558617


Lets's calculate GCF of 485,997,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6558617/1

Therefore the LCM of Fractions 17/485,503/997,767/524 is 6558617

Greatest Common Factor of 485,997,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,997,524 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 485,997,524 . The biggest common factor number is the GCF number.
So the greatest common factor 485,997,524 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/485, 503/997, 767/524

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 17/485, 503/997, 767/524?

Answer: LCM of Numerators as per given numbers 17/485, 503/997, 767/524 is

LCM of Numerators i.e. for 17,503,767 is 6558617

GCF of denominators i.e. for 485,997,524 is 1.

Thus, LCM of Fractions is 6558617.Finally, LCM of Fractions for 17/485, 503/997, 767/524 is 6558617.