Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9740/637, 3070/5821 quickly i.e. 2990180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9740/637, 3070/5821 is 2990180.
LCM(9740/637, 3070/5821) = 2990180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9740/637,3070/5821
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 9740,3070
Least Common Multiple of Numerators i.e. LCM of 9740,3070 is 2990180.
GCF of Denominators means GCF of 637,5821 as per the given fractions.
GCF of 637,5821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9740,3070
2 | 9740, 3070 |
5 | 4870, 1535 |
974, 307 |
∴ So the LCM of the given numbers is 2 x 5 x 974 x 307 = 2990180
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 9740,3070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9740,3070) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(9740,3070) x common factors =10 x 1 = 10
LCM(9740,3070) = ( 9740 × 3070 ) / 10
LCM(9740,3070) = 29901800 / 10
LCM(9740,3070) = 2990180
Lets's calculate GCF of 637,5821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2990180/1
Therefore the LCM of Fractions 9740/637,3070/5821 is 2990180
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 5821
List of positive integer factors of 5821 that divides 5821 without a remainder.
1,5821
Greatest Common Factor
We found the factors 637,5821 . The biggest common factor number is the GCF number.
So the greatest common factor 637,5821 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 9740/637, 3070/5821?
Answer: LCM of Numerators as per given numbers 9740/637, 3070/5821 is
LCM of Numerators i.e. for 9740,3070 is 2990180
GCF of denominators i.e. for 637,5821 is 1.
Thus, LCM of Fractions is 2990180.Finally, LCM of Fractions for 9740/637, 3070/5821 is 2990180.