Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7207/719, 6433/3664 quickly i.e. 46362631 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7207/719, 6433/3664 is 46362631.
LCM(7207/719, 6433/3664) = 46362631
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7207/719,6433/3664
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 7207,6433
Least Common Multiple of Numerators i.e. LCM of 7207,6433 is 46362631.
GCF of Denominators means GCF of 719,3664 as per the given fractions.
GCF of 719,3664 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7207,6433
Given numbers has no common factors except 1. So, there LCM is their product i.e 46362631
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 7207,6433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7207,6433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7207,6433) x common factors =1 x 1 = 1
LCM(7207,6433) = ( 7207 × 6433 ) / 1
LCM(7207,6433) = 46362631 / 1
LCM(7207,6433) = 46362631
Lets's calculate GCF of 719,3664
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46362631/1
Therefore the LCM of Fractions 7207/719,6433/3664 is 46362631
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 3664
List of positive integer factors of 3664 that divides 3664 without a remainder.
1,2,4,8,16,229,458,916,1832,3664
Greatest Common Factor
We found the factors 719,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 719,3664 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 7207/719, 6433/3664?
Answer: LCM of Numerators as per given numbers 7207/719, 6433/3664 is
LCM of Numerators i.e. for 7207,6433 is 46362631
GCF of denominators i.e. for 719,3664 is 1.
Thus, LCM of Fractions is 46362631.Finally, LCM of Fractions for 7207/719, 6433/3664 is 46362631.