Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2020/616, 2407/5630 quickly i.e. 2431070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2020/616, 2407/5630 is 2431070.
LCM(2020/616, 2407/5630) = 2431070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2020/616,2407/5630
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 2020,2407
Least Common Multiple of Numerators i.e. LCM of 2020,2407 is 4862140.
GCF of Denominators means GCF of 616,5630 as per the given fractions.
GCF of 616,5630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2020,2407
Given numbers has no common factors except 1. So, there LCM is their product i.e 4862140
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 2020,2407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2020,2407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2020,2407) x common factors =1 x 1 = 1
LCM(2020,2407) = ( 2020 × 2407 ) / 1
LCM(2020,2407) = 4862140 / 1
LCM(2020,2407) = 4862140
Lets's calculate GCF of 616,5630
2 | 616, 5630 |
308, 2815 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4862140/2
Therefore the LCM of Fractions 2020/616,2407/5630 is 2431070
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 5630
List of positive integer factors of 5630 that divides 5630 without a remainder.
1,2,5,10,563,1126,2815,5630
Greatest Common Factor
We found the factors 616,5630 . The biggest common factor number is the GCF number.
So the greatest common factor 616,5630 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 2020/616, 2407/5630?
Answer: LCM of Numerators as per given numbers 2020/616, 2407/5630 is
LCM of Numerators i.e. for 2020,2407 is 4862140
GCF of denominators i.e. for 616,5630 is 2.
Thus, LCM of Fractions is 2431070.Finally, LCM of Fractions for 2020/616, 2407/5630 is 2431070.