Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/206, 335/778, 797/388 quickly i.e. 11747780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/206, 335/778, 797/388 is 11747780.
LCM(88/206, 335/778, 797/388) = 11747780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/206,335/778,797/388
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 88,335,797
Least Common Multiple of Numerators i.e. LCM of 88,335,797 is 23495560.
GCF of Denominators means GCF of 206,778,388 as per the given fractions.
GCF of 206,778,388 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,335,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 23495560
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 88,335,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,335,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,335,797) x common factors =1 x 1 = 1
LCM(88,335,797) = ( 88 × 335 × 797 ) / 1
LCM(88,335,797) = 23495560 / 1
LCM(88,335,797) = 23495560
Lets's calculate GCF of 206,778,388
2 | 206, 778, 388 |
103, 389, 194 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23495560/2
Therefore the LCM of Fractions 88/206,335/778,797/388 is 11747780
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 206,778,388 . The biggest common factor number is the GCF number.
So the greatest common factor 206,778,388 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 88/206, 335/778, 797/388?
Answer: LCM of Numerators as per given numbers 88/206, 335/778, 797/388 is
LCM of Numerators i.e. for 88,335,797 is 23495560
GCF of denominators i.e. for 206,778,388 is 2.
Thus, LCM of Fractions is 11747780.Finally, LCM of Fractions for 88/206, 335/778, 797/388 is 11747780.