Least Common Multiple of 11/279, 283/975, 420/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/279, 283/975, 420/581 quickly i.e. 1307460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/279, 283/975, 420/581 is 1307460.

LCM(11/279, 283/975, 420/581) = 1307460

LCM of 11/279, 283/975, 420/581

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 11/279,283/975,420/581

Given numbers are 11/279,283/975,420/581

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 11,283,420

Least Common Multiple of Numerators i.e. LCM of 11,283,420 is 1307460.

GCF of Denominators means GCF of 279,975,581 as per the given fractions.

GCF of 279,975,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,283,420

LCM of Fractions 11/279,283/975,420/581 is 1307460

Given numbers has no common factors except 1. So, there LCM is their product i.e 1307460

Least Common Multiple of 11,283,420 with GCF Formula

Least Common Multiple of 11,283,420 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 11,283,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,283,420) = 1

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

GCF(11,283,420) x common factors =1 x 1 = 1

LCM(11,283,420) = ( 11 × 283 × 420 ) / 1

LCM(11,283,420) = 1307460 / 1

LCM(11,283,420) = 1307460


Lets's calculate GCF of 279,975,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1307460/1

Therefore the LCM of Fractions 11/279,283/975,420/581 is 1307460

Greatest Common Factor of 279,975,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,975,581 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 279,975,581 . The biggest common factor number is the GCF number.
So the greatest common factor 279,975,581 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 11/279, 283/975, 420/581

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 11/279, 283/975, 420/581?

Answer: LCM of Numerators as per given numbers 11/279, 283/975, 420/581 is

LCM of Numerators i.e. for 11,283,420 is 1307460

GCF of denominators i.e. for 279,975,581 is 1.

Thus, LCM of Fractions is 1307460.Finally, LCM of Fractions for 11/279, 283/975, 420/581 is 1307460.