Least Common Multiple of 5966/720, 3972/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5966/720, 3972/208 quickly i.e. 11848476/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5966/720, 3972/208 is 11848476/16.

LCM(5966/720, 3972/208) = 11848476/16

LCM of 5966/720, 3972/208

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 5966/720,3972/208

Given numbers are 5966/720,3972/208

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 5966,3972

Least Common Multiple of Numerators i.e. LCM of 5966,3972 is 11848476.

GCF of Denominators means GCF of 720,208 as per the given fractions.

GCF of 720,208 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5966,3972

LCM of Fractions 5966/720,3972/208 is 11848476/16

2 5966, 3972
2983, 1986

∴ So the LCM of the given numbers is 2 x 2983 x 1986 = 11848476

Least Common Multiple of 5966,3972 with GCF Formula

Least Common Multiple of 5966,3972 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 5966,3972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5966,3972) = 2

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

GCF(5966,3972) x common factors =2 x 1 = 2

LCM(5966,3972) = ( 5966 × 3972 ) / 2

LCM(5966,3972) = 23696952 / 2

LCM(5966,3972) = 11848476


Lets's calculate GCF of 720,208

2 720, 208
2 360, 104
2 180, 52
2 90, 26
45, 13

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11848476/16

Therefore the LCM of Fractions 5966/720,3972/208 is 11848476/16

Greatest Common Factor of 720,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,208 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

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

Greatest Common Factor

We found the factors 720,208 . The biggest common factor number is the GCF number.
So the greatest common factor 720,208 is 16.


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 5966/720, 3972/208

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 5966/720, 3972/208?

Answer: LCM of Numerators as per given numbers 5966/720, 3972/208 is

LCM of Numerators i.e. for 5966,3972 is 11848476

GCF of denominators i.e. for 720,208 is 16.

Thus, LCM of Fractions is 11848476/16.Finally, LCM of Fractions for 5966/720, 3972/208 is 11848476/16.