Least Common Multiple of 61/240, 11/107, 446/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/240, 11/107, 446/987 quickly i.e. 299266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/240, 11/107, 446/987 is 299266.

LCM(61/240, 11/107, 446/987) = 299266

LCM of 61/240, 11/107, 446/987

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 61/240,11/107,446/987

Given numbers are 61/240,11/107,446/987

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 61,11,446

Least Common Multiple of Numerators i.e. LCM of 61,11,446 is 299266.

GCF of Denominators means GCF of 240,107,987 as per the given fractions.

GCF of 240,107,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,11,446

LCM of Fractions 61/240,11/107,446/987 is 299266

Given numbers has no common factors except 1. So, there LCM is their product i.e 299266

Least Common Multiple of 61,11,446 with GCF Formula

Least Common Multiple of 61,11,446 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 61,11,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,11,446) = 1

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

GCF(61,11,446) x common factors =1 x 1 = 1

LCM(61,11,446) = ( 61 × 11 × 446 ) / 1

LCM(61,11,446) = 299266 / 1

LCM(61,11,446) = 299266


Lets's calculate GCF of 240,107,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299266/1

Therefore the LCM of Fractions 61/240,11/107,446/987 is 299266

Greatest Common Factor of 240,107,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,107,987 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 240,107,987 . The biggest common factor number is the GCF number.
So the greatest common factor 240,107,987 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 61/240, 11/107, 446/987

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 61/240, 11/107, 446/987?

Answer: LCM of Numerators as per given numbers 61/240, 11/107, 446/987 is

LCM of Numerators i.e. for 61,11,446 is 299266

GCF of denominators i.e. for 240,107,987 is 1.

Thus, LCM of Fractions is 299266.Finally, LCM of Fractions for 61/240, 11/107, 446/987 is 299266.