Least Common Multiple of 39/360, 447/696, 208/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/360, 447/696, 208/661 quickly i.e. 92976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/360, 447/696, 208/661 is 92976.

LCM(39/360, 447/696, 208/661) = 92976

LCM of 39/360, 447/696, 208/661

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 39/360,447/696,208/661

Given numbers are 39/360,447/696,208/661

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 39,447,208

Least Common Multiple of Numerators i.e. LCM of 39,447,208 is 92976.

GCF of Denominators means GCF of 360,696,661 as per the given fractions.

GCF of 360,696,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,447,208

LCM of Fractions 39/360,447/696,208/661 is 92976

3 39, 447, 208
13 13, 149, 208
1, 149, 16

∴ So the LCM of the given numbers is 3 x 13 x 1 x 149 x 16 = 92976

Least Common Multiple of 39,447,208 with GCF Formula

Least Common Multiple of 39,447,208 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 39,447,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,447,208) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(39,447,208) x common factors =1 x 39 = 39

LCM(39,447,208) = ( 39 × 447 × 208 ) / 39

LCM(39,447,208) = 3626064 / 39

LCM(39,447,208) = 92976


Lets's calculate GCF of 360,696,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92976/1

Therefore the LCM of Fractions 39/360,447/696,208/661 is 92976

Greatest Common Factor of 360,696,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,696,661 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

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

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 360,696,661 . The biggest common factor number is the GCF number.
So the greatest common factor 360,696,661 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 39/360, 447/696, 208/661

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 39/360, 447/696, 208/661?

Answer: LCM of Numerators as per given numbers 39/360, 447/696, 208/661 is

LCM of Numerators i.e. for 39,447,208 is 92976

GCF of denominators i.e. for 360,696,661 is 1.

Thus, LCM of Fractions is 92976.Finally, LCM of Fractions for 39/360, 447/696, 208/661 is 92976.