Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/86, 98/76, 24/43, 64/288 quickly i.e. 47040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/86, 98/76, 24/43, 64/288 is 47040.
LCM(70/86, 98/76, 24/43, 64/288) = 47040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/86,98/76,24/43,64/288
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 70,98,24,64
Least Common Multiple of Numerators i.e. LCM of 70,98,24,64 is 47040.
GCF of Denominators means GCF of 86,76,43,288 as per the given fractions.
GCF of 86,76,43,288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,98,24,64
2 | 70, 98, 24, 64 |
2 | 35, 49, 12, 32 |
2 | 35, 49, 6, 16 |
7 | 35, 49, 3, 8 |
5, 7, 3, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 7 x 3 x 8 = 47040
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 70,98,24,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,98,24,64) = 2
common factors(in case of two or more numbers have common factors) = 112
GCF(70,98,24,64) x common factors =2 x 112 = 224
LCM(70,98,24,64) = ( 70 × 98 × 24 × 64 ) / 224
LCM(70,98,24,64) = 10536960 / 224
LCM(70,98,24,64) = 47040
Lets's calculate GCF of 86,76,43,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47040/1
Therefore the LCM of Fractions 70/86,98/76,24/43,64/288 is 47040
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 86,76,43,288 . The biggest common factor number is the GCF number.
So the greatest common factor 86,76,43,288 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 70/86, 98/76, 24/43, 64/288?
Answer: LCM of Numerators as per given numbers 70/86, 98/76, 24/43, 64/288 is
LCM of Numerators i.e. for 70,98,24,64 is 47040
GCF of denominators i.e. for 86,76,43,288 is 1.
Thus, LCM of Fractions is 47040.Finally, LCM of Fractions for 70/86, 98/76, 24/43, 64/288 is 47040.