Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 894/22, 372/83, 730/104 quickly i.e. 20231220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 894/22, 372/83, 730/104 is 20231220.
LCM(894/22, 372/83, 730/104) = 20231220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 894/22,372/83,730/104
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 894,372,730
Least Common Multiple of Numerators i.e. LCM of 894,372,730 is 20231220.
GCF of Denominators means GCF of 22,83,104 as per the given fractions.
GCF of 22,83,104 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 894,372,730
2 | 894, 372, 730 |
3 | 447, 186, 365 |
149, 62, 365 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 62 x 365 = 20231220
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 894,372,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,372,730) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(894,372,730) x common factors =2 x 6 = 12
LCM(894,372,730) = ( 894 × 372 × 730 ) / 12
LCM(894,372,730) = 242774640 / 12
LCM(894,372,730) = 20231220
Lets's calculate GCF of 22,83,104
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20231220/1
Therefore the LCM of Fractions 894/22,372/83,730/104 is 20231220
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 22,83,104 . The biggest common factor number is the GCF number.
So the greatest common factor 22,83,104 is 1.
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 894/22, 372/83, 730/104?
Answer: LCM of Numerators as per given numbers 894/22, 372/83, 730/104 is
LCM of Numerators i.e. for 894,372,730 is 20231220
GCF of denominators i.e. for 22,83,104 is 1.
Thus, LCM of Fractions is 20231220.Finally, LCM of Fractions for 894/22, 372/83, 730/104 is 20231220.