Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 646/886, 9620/7124 quickly i.e. 1553630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 646/886, 9620/7124 is 1553630.
LCM(646/886, 9620/7124) = 1553630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 646/886,9620/7124
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 646,9620
Least Common Multiple of Numerators i.e. LCM of 646,9620 is 3107260.
GCF of Denominators means GCF of 886,7124 as per the given fractions.
GCF of 886,7124 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 646,9620
2 | 646, 9620 |
323, 4810 |
∴ So the LCM of the given numbers is 2 x 323 x 4810 = 3107260
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 646,9620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,9620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,9620) x common factors =2 x 1 = 2
LCM(646,9620) = ( 646 × 9620 ) / 2
LCM(646,9620) = 6214520 / 2
LCM(646,9620) = 3107260
Lets's calculate GCF of 886,7124
2 | 886, 7124 |
443, 3562 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3107260/2
Therefore the LCM of Fractions 646/886,9620/7124 is 1553630
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 7124
List of positive integer factors of 7124 that divides 7124 without a remainder.
1,2,4,13,26,52,137,274,548,1781,3562,7124
Greatest Common Factor
We found the factors 886,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 886,7124 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 646/886, 9620/7124?
Answer: LCM of Numerators as per given numbers 646/886, 9620/7124 is
LCM of Numerators i.e. for 646,9620 is 3107260
GCF of denominators i.e. for 886,7124 is 2.
Thus, LCM of Fractions is 1553630.Finally, LCM of Fractions for 646/886, 9620/7124 is 1553630.