Least Common Multiple of 11/416, 13/447, 720/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/416, 13/447, 720/628 quickly i.e. 102960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/416, 13/447, 720/628 is 102960.

LCM(11/416, 13/447, 720/628) = 102960

LCM of 11/416, 13/447, 720/628

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 11/416,13/447,720/628

Given numbers are 11/416,13/447,720/628

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 11,13,720

Least Common Multiple of Numerators i.e. LCM of 11,13,720 is 102960.

GCF of Denominators means GCF of 416,447,628 as per the given fractions.

GCF of 416,447,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,13,720

LCM of Fractions 11/416,13/447,720/628 is 102960

Given numbers has no common factors except 1. So, there LCM is their product i.e 102960

Least Common Multiple of 11,13,720 with GCF Formula

Least Common Multiple of 11,13,720 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 11,13,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,13,720) = 1

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

GCF(11,13,720) x common factors =1 x 1 = 1

LCM(11,13,720) = ( 11 × 13 × 720 ) / 1

LCM(11,13,720) = 102960 / 1

LCM(11,13,720) = 102960


Lets's calculate GCF of 416,447,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102960/1

Therefore the LCM of Fractions 11/416,13/447,720/628 is 102960

Greatest Common Factor of 416,447,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,447,628 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 416,447,628 . The biggest common factor number is the GCF number.
So the greatest common factor 416,447,628 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 11/416, 13/447, 720/628

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 11/416, 13/447, 720/628?

Answer: LCM of Numerators as per given numbers 11/416, 13/447, 720/628 is

LCM of Numerators i.e. for 11,13,720 is 102960

GCF of denominators i.e. for 416,447,628 is 1.

Thus, LCM of Fractions is 102960.Finally, LCM of Fractions for 11/416, 13/447, 720/628 is 102960.