Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/52, 730/44, 246/810 quickly i.e. 493845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/52, 730/44, 246/810 is 493845.
LCM(55/52, 730/44, 246/810) = 493845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/52,730/44,246/810
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 55,730,246
Least Common Multiple of Numerators i.e. LCM of 55,730,246 is 987690.
GCF of Denominators means GCF of 52,44,810 as per the given fractions.
GCF of 52,44,810 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,730,246
2 | 55, 730, 246 |
5 | 55, 365, 123 |
11, 73, 123 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 73 x 123 = 987690
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 55,730,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,730,246) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(55,730,246) x common factors =1 x 10 = 10
LCM(55,730,246) = ( 55 × 730 × 246 ) / 10
LCM(55,730,246) = 9876900 / 10
LCM(55,730,246) = 987690
Lets's calculate GCF of 52,44,810
2 | 52, 44, 810 |
26, 22, 405 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 987690/2
Therefore the LCM of Fractions 55/52,730/44,246/810 is 493845
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 52,44,810 . The biggest common factor number is the GCF number.
So the greatest common factor 52,44,810 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 55/52, 730/44, 246/810?
Answer: LCM of Numerators as per given numbers 55/52, 730/44, 246/810 is
LCM of Numerators i.e. for 55,730,246 is 987690
GCF of denominators i.e. for 52,44,810 is 2.
Thus, LCM of Fractions is 493845.Finally, LCM of Fractions for 55/52, 730/44, 246/810 is 493845.