Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/881, 24/400, 378/494 quickly i.e. 92232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/881, 24/400, 378/494 is 92232.
LCM(61/881, 24/400, 378/494) = 92232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/881,24/400,378/494
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 61,24,378
Least Common Multiple of Numerators i.e. LCM of 61,24,378 is 92232.
GCF of Denominators means GCF of 881,400,494 as per the given fractions.
GCF of 881,400,494 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,24,378
2 | 61, 24, 378 |
3 | 61, 12, 189 |
61, 4, 63 |
∴ So the LCM of the given numbers is 2 x 3 x 61 x 4 x 63 = 92232
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 61,24,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,24,378) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(61,24,378) x common factors =1 x 6 = 6
LCM(61,24,378) = ( 61 × 24 × 378 ) / 6
LCM(61,24,378) = 553392 / 6
LCM(61,24,378) = 92232
Lets's calculate GCF of 881,400,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92232/1
Therefore the LCM of Fractions 61/881,24/400,378/494 is 92232
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 881,400,494 . The biggest common factor number is the GCF number.
So the greatest common factor 881,400,494 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 61/881, 24/400, 378/494?
Answer: LCM of Numerators as per given numbers 61/881, 24/400, 378/494 is
LCM of Numerators i.e. for 61,24,378 is 92232
GCF of denominators i.e. for 881,400,494 is 1.
Thus, LCM of Fractions is 92232.Finally, LCM of Fractions for 61/881, 24/400, 378/494 is 92232.