Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3710/147, 7531/7219 quickly i.e. 27940010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3710/147, 7531/7219 is 27940010.
LCM(3710/147, 7531/7219) = 27940010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3710/147,7531/7219
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 3710,7531
Least Common Multiple of Numerators i.e. LCM of 3710,7531 is 27940010.
GCF of Denominators means GCF of 147,7219 as per the given fractions.
GCF of 147,7219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3710,7531
Given numbers has no common factors except 1. So, there LCM is their product i.e 27940010
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 3710,7531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3710,7531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3710,7531) x common factors =1 x 1 = 1
LCM(3710,7531) = ( 3710 × 7531 ) / 1
LCM(3710,7531) = 27940010 / 1
LCM(3710,7531) = 27940010
Lets's calculate GCF of 147,7219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27940010/1
Therefore the LCM of Fractions 3710/147,7531/7219 is 27940010
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 7219
List of positive integer factors of 7219 that divides 7219 without a remainder.
1,7219
Greatest Common Factor
We found the factors 147,7219 . The biggest common factor number is the GCF number.
So the greatest common factor 147,7219 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 3710/147, 7531/7219?
Answer: LCM of Numerators as per given numbers 3710/147, 7531/7219 is
LCM of Numerators i.e. for 3710,7531 is 27940010
GCF of denominators i.e. for 147,7219 is 1.
Thus, LCM of Fractions is 27940010.Finally, LCM of Fractions for 3710/147, 7531/7219 is 27940010.