Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 802/673, 345/236, 478/808 quickly i.e. 66128910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 802/673, 345/236, 478/808 is 66128910.
LCM(802/673, 345/236, 478/808) = 66128910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 802/673,345/236,478/808
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 802,345,478
Least Common Multiple of Numerators i.e. LCM of 802,345,478 is 66128910.
GCF of Denominators means GCF of 673,236,808 as per the given fractions.
GCF of 673,236,808 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 802,345,478
2 | 802, 345, 478 |
401, 345, 239 |
∴ So the LCM of the given numbers is 2 x 401 x 345 x 239 = 66128910
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 802,345,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,345,478) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(802,345,478) x common factors =1 x 2 = 2
LCM(802,345,478) = ( 802 × 345 × 478 ) / 2
LCM(802,345,478) = 132257820 / 2
LCM(802,345,478) = 66128910
Lets's calculate GCF of 673,236,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66128910/1
Therefore the LCM of Fractions 802/673,345/236,478/808 is 66128910
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 673,236,808 . The biggest common factor number is the GCF number.
So the greatest common factor 673,236,808 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 802/673, 345/236, 478/808?
Answer: LCM of Numerators as per given numbers 802/673, 345/236, 478/808 is
LCM of Numerators i.e. for 802,345,478 is 66128910
GCF of denominators i.e. for 673,236,808 is 1.
Thus, LCM of Fractions is 66128910.Finally, LCM of Fractions for 802/673, 345/236, 478/808 is 66128910.