Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/985, 15/347, 320/352 quickly i.e. 18240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/985, 15/347, 320/352 is 18240.
LCM(76/985, 15/347, 320/352) = 18240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/985,15/347,320/352
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 76,15,320
Least Common Multiple of Numerators i.e. LCM of 76,15,320 is 18240.
GCF of Denominators means GCF of 985,347,352 as per the given fractions.
GCF of 985,347,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,15,320
2 | 76, 15, 320 |
2 | 38, 15, 160 |
5 | 19, 15, 80 |
19, 3, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 3 x 16 = 18240
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 76,15,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,15,320) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(76,15,320) x common factors =1 x 20 = 20
LCM(76,15,320) = ( 76 × 15 × 320 ) / 20
LCM(76,15,320) = 364800 / 20
LCM(76,15,320) = 18240
Lets's calculate GCF of 985,347,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18240/1
Therefore the LCM of Fractions 76/985,15/347,320/352 is 18240
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 985,347,352 . The biggest common factor number is the GCF number.
So the greatest common factor 985,347,352 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 76/985, 15/347, 320/352?
Answer: LCM of Numerators as per given numbers 76/985, 15/347, 320/352 is
LCM of Numerators i.e. for 76,15,320 is 18240
GCF of denominators i.e. for 985,347,352 is 1.
Thus, LCM of Fractions is 18240.Finally, LCM of Fractions for 76/985, 15/347, 320/352 is 18240.