Least Common Multiple of 73/186, 75/980, 997/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/186, 75/980, 997/531 quickly i.e. 5458575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/186, 75/980, 997/531 is 5458575.

LCM(73/186, 75/980, 997/531) = 5458575

LCM of 73/186, 75/980, 997/531

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 73/186,75/980,997/531

Given numbers are 73/186,75/980,997/531

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 73,75,997

Least Common Multiple of Numerators i.e. LCM of 73,75,997 is 5458575.

GCF of Denominators means GCF of 186,980,531 as per the given fractions.

GCF of 186,980,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,75,997

LCM of Fractions 73/186,75/980,997/531 is 5458575

Given numbers has no common factors except 1. So, there LCM is their product i.e 5458575

Least Common Multiple of 73,75,997 with GCF Formula

Least Common Multiple of 73,75,997 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 73,75,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,75,997) = 1

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

GCF(73,75,997) x common factors =1 x 1 = 1

LCM(73,75,997) = ( 73 × 75 × 997 ) / 1

LCM(73,75,997) = 5458575 / 1

LCM(73,75,997) = 5458575


Lets's calculate GCF of 186,980,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5458575/1

Therefore the LCM of Fractions 73/186,75/980,997/531 is 5458575

Greatest Common Factor of 186,980,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,980,531 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 186,980,531 . The biggest common factor number is the GCF number.
So the greatest common factor 186,980,531 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 73/186, 75/980, 997/531

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 73/186, 75/980, 997/531?

Answer: LCM of Numerators as per given numbers 73/186, 75/980, 997/531 is

LCM of Numerators i.e. for 73,75,997 is 5458575

GCF of denominators i.e. for 186,980,531 is 1.

Thus, LCM of Fractions is 5458575.Finally, LCM of Fractions for 73/186, 75/980, 997/531 is 5458575.