Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 111/95, 207/39, 784/701 quickly i.e. 6004656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 111/95, 207/39, 784/701 is 6004656.
LCM(111/95, 207/39, 784/701) = 6004656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 111/95,207/39,784/701
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 111,207,784
Least Common Multiple of Numerators i.e. LCM of 111,207,784 is 6004656.
GCF of Denominators means GCF of 95,39,701 as per the given fractions.
GCF of 95,39,701 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 111,207,784
3 | 111, 207, 784 |
37, 69, 784 |
∴ So the LCM of the given numbers is 3 x 37 x 69 x 784 = 6004656
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 111,207,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,207,784) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(111,207,784) x common factors =1 x 3 = 3
LCM(111,207,784) = ( 111 × 207 × 784 ) / 3
LCM(111,207,784) = 18013968 / 3
LCM(111,207,784) = 6004656
Lets's calculate GCF of 95,39,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6004656/1
Therefore the LCM of Fractions 111/95,207/39,784/701 is 6004656
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Greatest Common Factor
We found the factors 95,39,701 . The biggest common factor number is the GCF number.
So the greatest common factor 95,39,701 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 111/95, 207/39, 784/701?
Answer: LCM of Numerators as per given numbers 111/95, 207/39, 784/701 is
LCM of Numerators i.e. for 111,207,784 is 6004656
GCF of denominators i.e. for 95,39,701 is 1.
Thus, LCM of Fractions is 6004656.Finally, LCM of Fractions for 111/95, 207/39, 784/701 is 6004656.