Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/45, 2/64, 5/86, 61/217 quickly i.e. 4270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/45, 2/64, 5/86, 61/217 is 4270.
LCM(7/45, 2/64, 5/86, 61/217) = 4270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/45,2/64,5/86,61/217
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 7,2,5,61
Least Common Multiple of Numerators i.e. LCM of 7,2,5,61 is 4270.
GCF of Denominators means GCF of 45,64,86,217 as per the given fractions.
GCF of 45,64,86,217 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,2,5,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 4270
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 7,2,5,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,2,5,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,2,5,61) x common factors =1 x 1 = 1
LCM(7,2,5,61) = ( 7 × 2 × 5 × 61 ) / 1
LCM(7,2,5,61) = 4270 / 1
LCM(7,2,5,61) = 4270
Lets's calculate GCF of 45,64,86,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4270/1
Therefore the LCM of Fractions 7/45,2/64,5/86,61/217 is 4270
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Greatest Common Factor
We found the factors 45,64,86,217 . The biggest common factor number is the GCF number.
So the greatest common factor 45,64,86,217 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 7/45, 2/64, 5/86, 61/217?
Answer: LCM of Numerators as per given numbers 7/45, 2/64, 5/86, 61/217 is
LCM of Numerators i.e. for 7,2,5,61 is 4270
GCF of denominators i.e. for 45,64,86,217 is 1.
Thus, LCM of Fractions is 4270.Finally, LCM of Fractions for 7/45, 2/64, 5/86, 61/217 is 4270.