Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/616, 3707/2060 quickly i.e. 77847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/616, 3707/2060 is 77847.
LCM(84/616, 3707/2060) = 77847
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/616,3707/2060
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 84,3707
Least Common Multiple of Numerators i.e. LCM of 84,3707 is 311388.
GCF of Denominators means GCF of 616,2060 as per the given fractions.
GCF of 616,2060 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,3707
Given numbers has no common factors except 1. So, there LCM is their product i.e 311388
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 84,3707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,3707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,3707) x common factors =1 x 1 = 1
LCM(84,3707) = ( 84 × 3707 ) / 1
LCM(84,3707) = 311388 / 1
LCM(84,3707) = 311388
Lets's calculate GCF of 616,2060
2 | 616, 2060 |
2 | 308, 1030 |
154, 515 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311388/4
Therefore the LCM of Fractions 84/616,3707/2060 is 77847
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 2060
List of positive integer factors of 2060 that divides 2060 without a remainder.
1,2,4,5,10,20,103,206,412,515,1030,2060
Greatest Common Factor
We found the factors 616,2060 . The biggest common factor number is the GCF number.
So the greatest common factor 616,2060 is 4.
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 84/616, 3707/2060?
Answer: LCM of Numerators as per given numbers 84/616, 3707/2060 is
LCM of Numerators i.e. for 84,3707 is 311388
GCF of denominators i.e. for 616,2060 is 4.
Thus, LCM of Fractions is 77847.Finally, LCM of Fractions for 84/616, 3707/2060 is 77847.