Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/78, 75/94, 71/718 quickly i.e. 250275/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/78, 75/94, 71/718 is 250275/2.
LCM(47/78, 75/94, 71/718) = 250275/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/78,75/94,71/718
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 47,75,71
Least Common Multiple of Numerators i.e. LCM of 47,75,71 is 250275.
GCF of Denominators means GCF of 78,94,718 as per the given fractions.
GCF of 78,94,718 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,75,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 250275
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 47,75,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,75,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,75,71) x common factors =1 x 1 = 1
LCM(47,75,71) = ( 47 × 75 × 71 ) / 1
LCM(47,75,71) = 250275 / 1
LCM(47,75,71) = 250275
Lets's calculate GCF of 78,94,718
2 | 78, 94, 718 |
39, 47, 359 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250275/2
Therefore the LCM of Fractions 47/78,75/94,71/718 is 250275/2
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 78,94,718 . The biggest common factor number is the GCF number.
So the greatest common factor 78,94,718 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 47/78, 75/94, 71/718?
Answer: LCM of Numerators as per given numbers 47/78, 75/94, 71/718 is
LCM of Numerators i.e. for 47,75,71 is 250275
GCF of denominators i.e. for 78,94,718 is 2.
Thus, LCM of Fractions is 250275/2.Finally, LCM of Fractions for 47/78, 75/94, 71/718 is 250275/2.