Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 186/80, 251/10, 107/634 quickly i.e. 2497701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 186/80, 251/10, 107/634 is 2497701.
LCM(186/80, 251/10, 107/634) = 2497701
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 186/80,251/10,107/634
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 186,251,107
Least Common Multiple of Numerators i.e. LCM of 186,251,107 is 4995402.
GCF of Denominators means GCF of 80,10,634 as per the given fractions.
GCF of 80,10,634 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 186,251,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 4995402
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 186,251,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,251,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,251,107) x common factors =1 x 1 = 1
LCM(186,251,107) = ( 186 × 251 × 107 ) / 1
LCM(186,251,107) = 4995402 / 1
LCM(186,251,107) = 4995402
Lets's calculate GCF of 80,10,634
2 | 80, 10, 634 |
40, 5, 317 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4995402/2
Therefore the LCM of Fractions 186/80,251/10,107/634 is 2497701
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 80,10,634 . The biggest common factor number is the GCF number.
So the greatest common factor 80,10,634 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 186/80, 251/10, 107/634?
Answer: LCM of Numerators as per given numbers 186/80, 251/10, 107/634 is
LCM of Numerators i.e. for 186,251,107 is 4995402
GCF of denominators i.e. for 80,10,634 is 2.
Thus, LCM of Fractions is 2497701.Finally, LCM of Fractions for 186/80, 251/10, 107/634 is 2497701.