Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/25, 94/95, 41/48, 87/702 quickly i.e. 10729536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/25, 94/95, 41/48, 87/702 is 10729536.
LCM(64/25, 94/95, 41/48, 87/702) = 10729536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/25,94/95,41/48,87/702
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 64,94,41,87
Least Common Multiple of Numerators i.e. LCM of 64,94,41,87 is 10729536.
GCF of Denominators means GCF of 25,95,48,702 as per the given fractions.
GCF of 25,95,48,702 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,94,41,87
2 | 64, 94, 41, 87 |
32, 47, 41, 87 |
∴ So the LCM of the given numbers is 2 x 32 x 47 x 41 x 87 = 10729536
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 64,94,41,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,94,41,87) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,94,41,87) x common factors =1 x 2 = 2
LCM(64,94,41,87) = ( 64 × 94 × 41 × 87 ) / 2
LCM(64,94,41,87) = 21459072 / 2
LCM(64,94,41,87) = 10729536
Lets's calculate GCF of 25,95,48,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10729536/1
Therefore the LCM of Fractions 64/25,94/95,41/48,87/702 is 10729536
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 25,95,48,702 . The biggest common factor number is the GCF number.
So the greatest common factor 25,95,48,702 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 64/25, 94/95, 41/48, 87/702?
Answer: LCM of Numerators as per given numbers 64/25, 94/95, 41/48, 87/702 is
LCM of Numerators i.e. for 64,94,41,87 is 10729536
GCF of denominators i.e. for 25,95,48,702 is 1.
Thus, LCM of Fractions is 10729536.Finally, LCM of Fractions for 64/25, 94/95, 41/48, 87/702 is 10729536.