Least Common Multiple of 61/300, 87/335, 281/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/300, 87/335, 281/989 quickly i.e. 1491267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/300, 87/335, 281/989 is 1491267.

LCM(61/300, 87/335, 281/989) = 1491267

LCM of 61/300, 87/335, 281/989

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 61/300,87/335,281/989

Given numbers are 61/300,87/335,281/989

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 61,87,281

Least Common Multiple of Numerators i.e. LCM of 61,87,281 is 1491267.

GCF of Denominators means GCF of 300,335,989 as per the given fractions.

GCF of 300,335,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,87,281

LCM of Fractions 61/300,87/335,281/989 is 1491267

Given numbers has no common factors except 1. So, there LCM is their product i.e 1491267

Least Common Multiple of 61,87,281 with GCF Formula

Least Common Multiple of 61,87,281 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 61,87,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,87,281) = 1

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

GCF(61,87,281) x common factors =1 x 1 = 1

LCM(61,87,281) = ( 61 × 87 × 281 ) / 1

LCM(61,87,281) = 1491267 / 1

LCM(61,87,281) = 1491267


Lets's calculate GCF of 300,335,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1491267/1

Therefore the LCM of Fractions 61/300,87/335,281/989 is 1491267

Greatest Common Factor of 300,335,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,335,989 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 300,335,989 . The biggest common factor number is the GCF number.
So the greatest common factor 300,335,989 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 61/300, 87/335, 281/989

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 61/300, 87/335, 281/989?

Answer: LCM of Numerators as per given numbers 61/300, 87/335, 281/989 is

LCM of Numerators i.e. for 61,87,281 is 1491267

GCF of denominators i.e. for 300,335,989 is 1.

Thus, LCM of Fractions is 1491267.Finally, LCM of Fractions for 61/300, 87/335, 281/989 is 1491267.