Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7207/602, 3524/4150 quickly i.e. 12698734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7207/602, 3524/4150 is 12698734.
LCM(7207/602, 3524/4150) = 12698734
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7207/602,3524/4150
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 7207,3524
Least Common Multiple of Numerators i.e. LCM of 7207,3524 is 25397468.
GCF of Denominators means GCF of 602,4150 as per the given fractions.
GCF of 602,4150 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7207,3524
Given numbers has no common factors except 1. So, there LCM is their product i.e 25397468
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 7207,3524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7207,3524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7207,3524) x common factors =1 x 1 = 1
LCM(7207,3524) = ( 7207 × 3524 ) / 1
LCM(7207,3524) = 25397468 / 1
LCM(7207,3524) = 25397468
Lets's calculate GCF of 602,4150
2 | 602, 4150 |
301, 2075 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25397468/2
Therefore the LCM of Fractions 7207/602,3524/4150 is 12698734
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 4150
List of positive integer factors of 4150 that divides 4150 without a remainder.
1,2,5,10,25,50,83,166,415,830,2075,4150
Greatest Common Factor
We found the factors 602,4150 . The biggest common factor number is the GCF number.
So the greatest common factor 602,4150 is 2.
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 7207/602, 3524/4150?
Answer: LCM of Numerators as per given numbers 7207/602, 3524/4150 is
LCM of Numerators i.e. for 7207,3524 is 25397468
GCF of denominators i.e. for 602,4150 is 2.
Thus, LCM of Fractions is 12698734.Finally, LCM of Fractions for 7207/602, 3524/4150 is 12698734.