Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/806, 956/336, 492/640 quickly i.e. 3468846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/806, 956/336, 492/640 is 3468846.
LCM(59/806, 956/336, 492/640) = 3468846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/806,956/336,492/640
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 59,956,492
Least Common Multiple of Numerators i.e. LCM of 59,956,492 is 6937692.
GCF of Denominators means GCF of 806,336,640 as per the given fractions.
GCF of 806,336,640 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,956,492
2 | 59, 956, 492 |
2 | 59, 478, 246 |
59, 239, 123 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 239 x 123 = 6937692
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 59,956,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,956,492) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(59,956,492) x common factors =1 x 4 = 4
LCM(59,956,492) = ( 59 × 956 × 492 ) / 4
LCM(59,956,492) = 27750768 / 4
LCM(59,956,492) = 6937692
Lets's calculate GCF of 806,336,640
2 | 806, 336, 640 |
403, 168, 320 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6937692/2
Therefore the LCM of Fractions 59/806,956/336,492/640 is 3468846
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 806,336,640 . The biggest common factor number is the GCF number.
So the greatest common factor 806,336,640 is 2.
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 59/806, 956/336, 492/640?
Answer: LCM of Numerators as per given numbers 59/806, 956/336, 492/640 is
LCM of Numerators i.e. for 59,956,492 is 6937692
GCF of denominators i.e. for 806,336,640 is 2.
Thus, LCM of Fractions is 3468846.Finally, LCM of Fractions for 59/806, 956/336, 492/640 is 3468846.