Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/21, 64/746, 345/157 quickly i.e. 816960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/21, 64/746, 345/157 is 816960.
LCM(37/21, 64/746, 345/157) = 816960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/21,64/746,345/157
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 37,64,345
Least Common Multiple of Numerators i.e. LCM of 37,64,345 is 816960.
GCF of Denominators means GCF of 21,746,157 as per the given fractions.
GCF of 21,746,157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,64,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 816960
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 37,64,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,64,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,64,345) x common factors =1 x 1 = 1
LCM(37,64,345) = ( 37 × 64 × 345 ) / 1
LCM(37,64,345) = 816960 / 1
LCM(37,64,345) = 816960
Lets's calculate GCF of 21,746,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816960/1
Therefore the LCM of Fractions 37/21,64/746,345/157 is 816960
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 21,746,157 . The biggest common factor number is the GCF number.
So the greatest common factor 21,746,157 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 37/21, 64/746, 345/157?
Answer: LCM of Numerators as per given numbers 37/21, 64/746, 345/157 is
LCM of Numerators i.e. for 37,64,345 is 816960
GCF of denominators i.e. for 21,746,157 is 1.
Thus, LCM of Fractions is 816960.Finally, LCM of Fractions for 37/21, 64/746, 345/157 is 816960.