Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/47, 17/76, 79/96, 75/470 quickly i.e. 2921025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/47, 17/76, 79/96, 75/470 is 2921025.
LCM(87/47, 17/76, 79/96, 75/470) = 2921025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/47,17/76,79/96,75/470
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 87,17,79,75
Least Common Multiple of Numerators i.e. LCM of 87,17,79,75 is 2921025.
GCF of Denominators means GCF of 47,76,96,470 as per the given fractions.
GCF of 47,76,96,470 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,17,79,75
3 | 87, 17, 79, 75 |
29, 17, 79, 25 |
∴ So the LCM of the given numbers is 3 x 29 x 17 x 79 x 25 = 2921025
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 87,17,79,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,17,79,75) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,17,79,75) x common factors =1 x 3 = 3
LCM(87,17,79,75) = ( 87 × 17 × 79 × 75 ) / 3
LCM(87,17,79,75) = 8763075 / 3
LCM(87,17,79,75) = 2921025
Lets's calculate GCF of 47,76,96,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2921025/1
Therefore the LCM of Fractions 87/47,17/76,79/96,75/470 is 2921025
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 47,76,96,470 . The biggest common factor number is the GCF number.
So the greatest common factor 47,76,96,470 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 87/47, 17/76, 79/96, 75/470?
Answer: LCM of Numerators as per given numbers 87/47, 17/76, 79/96, 75/470 is
LCM of Numerators i.e. for 87,17,79,75 is 2921025
GCF of denominators i.e. for 47,76,96,470 is 1.
Thus, LCM of Fractions is 2921025.Finally, LCM of Fractions for 87/47, 17/76, 79/96, 75/470 is 2921025.