Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 802/77, 996/32, 412/86 quickly i.e. 41137788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 802/77, 996/32, 412/86 is 41137788.
LCM(802/77, 996/32, 412/86) = 41137788
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 802/77,996/32,412/86
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 802,996,412
Least Common Multiple of Numerators i.e. LCM of 802,996,412 is 41137788.
GCF of Denominators means GCF of 77,32,86 as per the given fractions.
GCF of 77,32,86 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 802,996,412
2 | 802, 996, 412 |
2 | 401, 498, 206 |
401, 249, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 401 x 249 x 103 = 41137788
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 802,996,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,996,412) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(802,996,412) x common factors =2 x 4 = 8
LCM(802,996,412) = ( 802 × 996 × 412 ) / 8
LCM(802,996,412) = 329102304 / 8
LCM(802,996,412) = 41137788
Lets's calculate GCF of 77,32,86
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41137788/1
Therefore the LCM of Fractions 802/77,996/32,412/86 is 41137788
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 77,32,86 . The biggest common factor number is the GCF number.
So the greatest common factor 77,32,86 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 802/77, 996/32, 412/86?
Answer: LCM of Numerators as per given numbers 802/77, 996/32, 412/86 is
LCM of Numerators i.e. for 802,996,412 is 41137788
GCF of denominators i.e. for 77,32,86 is 1.
Thus, LCM of Fractions is 41137788.Finally, LCM of Fractions for 802/77, 996/32, 412/86 is 41137788.