Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5222/736, 2709/5602 quickly i.e. 1010457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5222/736, 2709/5602 is 1010457.
LCM(5222/736, 2709/5602) = 1010457
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5222/736,2709/5602
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 5222,2709
Least Common Multiple of Numerators i.e. LCM of 5222,2709 is 2020914.
GCF of Denominators means GCF of 736,5602 as per the given fractions.
GCF of 736,5602 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5222,2709
7 | 5222, 2709 |
746, 387 |
∴ So the LCM of the given numbers is 7 x 746 x 387 = 2020914
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 5222,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5222,2709) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(5222,2709) x common factors =7 x 1 = 7
LCM(5222,2709) = ( 5222 × 2709 ) / 7
LCM(5222,2709) = 14146398 / 7
LCM(5222,2709) = 2020914
Lets's calculate GCF of 736,5602
2 | 736, 5602 |
368, 2801 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2020914/2
Therefore the LCM of Fractions 5222/736,2709/5602 is 1010457
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 5602
List of positive integer factors of 5602 that divides 5602 without a remainder.
1,2,2801,5602
Greatest Common Factor
We found the factors 736,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 736,5602 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 5222/736, 2709/5602?
Answer: LCM of Numerators as per given numbers 5222/736, 2709/5602 is
LCM of Numerators i.e. for 5222,2709 is 2020914
GCF of denominators i.e. for 736,5602 is 2.
Thus, LCM of Fractions is 1010457.Finally, LCM of Fractions for 5222/736, 2709/5602 is 1010457.