Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/448, 61/432, 36/293 quickly i.e. 2196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/448, 61/432, 36/293 is 2196.
LCM(4/448, 61/432, 36/293) = 2196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/448,61/432,36/293
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 4,61,36
Least Common Multiple of Numerators i.e. LCM of 4,61,36 is 2196.
GCF of Denominators means GCF of 448,432,293 as per the given fractions.
GCF of 448,432,293 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,61,36
2 | 4, 61, 36 |
2 | 2, 61, 18 |
1, 61, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 61 x 9 = 2196
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 4,61,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,61,36) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(4,61,36) x common factors =1 x 4 = 4
LCM(4,61,36) = ( 4 × 61 × 36 ) / 4
LCM(4,61,36) = 8784 / 4
LCM(4,61,36) = 2196
Lets's calculate GCF of 448,432,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2196/1
Therefore the LCM of Fractions 4/448,61/432,36/293 is 2196
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 448,432,293 . The biggest common factor number is the GCF number.
So the greatest common factor 448,432,293 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 4/448, 61/432, 36/293?
Answer: LCM of Numerators as per given numbers 4/448, 61/432, 36/293 is
LCM of Numerators i.e. for 4,61,36 is 2196
GCF of denominators i.e. for 448,432,293 is 1.
Thus, LCM of Fractions is 2196.Finally, LCM of Fractions for 4/448, 61/432, 36/293 is 2196.