Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/206, 47/134, 607/935 quickly i.e. 1569095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/206, 47/134, 607/935 is 1569095.
LCM(55/206, 47/134, 607/935) = 1569095
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/206,47/134,607/935
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 55,47,607
Least Common Multiple of Numerators i.e. LCM of 55,47,607 is 1569095.
GCF of Denominators means GCF of 206,134,935 as per the given fractions.
GCF of 206,134,935 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,47,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 1569095
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 55,47,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,47,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,47,607) x common factors =1 x 1 = 1
LCM(55,47,607) = ( 55 × 47 × 607 ) / 1
LCM(55,47,607) = 1569095 / 1
LCM(55,47,607) = 1569095
Lets's calculate GCF of 206,134,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1569095/1
Therefore the LCM of Fractions 55/206,47/134,607/935 is 1569095
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 206,134,935 . The biggest common factor number is the GCF number.
So the greatest common factor 206,134,935 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 55/206, 47/134, 607/935?
Answer: LCM of Numerators as per given numbers 55/206, 47/134, 607/935 is
LCM of Numerators i.e. for 55,47,607 is 1569095
GCF of denominators i.e. for 206,134,935 is 1.
Thus, LCM of Fractions is 1569095.Finally, LCM of Fractions for 55/206, 47/134, 607/935 is 1569095.