Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/62, 743/88, 882/906 quickly i.e. 8846901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/62, 743/88, 882/906 is 8846901.
LCM(243/62, 743/88, 882/906) = 8846901
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/62,743/88,882/906
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 243,743,882
Least Common Multiple of Numerators i.e. LCM of 243,743,882 is 17693802.
GCF of Denominators means GCF of 62,88,906 as per the given fractions.
GCF of 62,88,906 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,743,882
3 | 243, 743, 882 |
3 | 81, 743, 294 |
27, 743, 98 |
∴ So the LCM of the given numbers is 3 x 3 x 27 x 743 x 98 = 17693802
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 243,743,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,743,882) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(243,743,882) x common factors =1 x 9 = 9
LCM(243,743,882) = ( 243 × 743 × 882 ) / 9
LCM(243,743,882) = 159244218 / 9
LCM(243,743,882) = 17693802
Lets's calculate GCF of 62,88,906
2 | 62, 88, 906 |
31, 44, 453 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17693802/2
Therefore the LCM of Fractions 243/62,743/88,882/906 is 8846901
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 62,88,906 . The biggest common factor number is the GCF number.
So the greatest common factor 62,88,906 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 243/62, 743/88, 882/906?
Answer: LCM of Numerators as per given numbers 243/62, 743/88, 882/906 is
LCM of Numerators i.e. for 243,743,882 is 17693802
GCF of denominators i.e. for 62,88,906 is 2.
Thus, LCM of Fractions is 8846901.Finally, LCM of Fractions for 243/62, 743/88, 882/906 is 8846901.