Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/646, 332/906, 209/847 quickly i.e. 693880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/646, 332/906, 209/847 is 693880.
LCM(40/646, 332/906, 209/847) = 693880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/646,332/906,209/847
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 40,332,209
Least Common Multiple of Numerators i.e. LCM of 40,332,209 is 693880.
GCF of Denominators means GCF of 646,906,847 as per the given fractions.
GCF of 646,906,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,332,209
2 | 40, 332, 209 |
2 | 20, 166, 209 |
10, 83, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 83 x 209 = 693880
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 40,332,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,332,209) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(40,332,209) x common factors =1 x 4 = 4
LCM(40,332,209) = ( 40 × 332 × 209 ) / 4
LCM(40,332,209) = 2775520 / 4
LCM(40,332,209) = 693880
Lets's calculate GCF of 646,906,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693880/1
Therefore the LCM of Fractions 40/646,332/906,209/847 is 693880
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 646,906,847 . The biggest common factor number is the GCF number.
So the greatest common factor 646,906,847 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 40/646, 332/906, 209/847?
Answer: LCM of Numerators as per given numbers 40/646, 332/906, 209/847 is
LCM of Numerators i.e. for 40,332,209 is 693880
GCF of denominators i.e. for 646,906,847 is 1.
Thus, LCM of Fractions is 693880.Finally, LCM of Fractions for 40/646, 332/906, 209/847 is 693880.