Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/224, 378/614, 617/254 quickly i.e. 233226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/224, 378/614, 617/254 is 233226.
LCM(36/224, 378/614, 617/254) = 233226
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/224,378/614,617/254
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 36,378,617
Least Common Multiple of Numerators i.e. LCM of 36,378,617 is 466452.
GCF of Denominators means GCF of 224,614,254 as per the given fractions.
GCF of 224,614,254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,378,617
2 | 36, 378, 617 |
3 | 18, 189, 617 |
3 | 6, 63, 617 |
2, 21, 617 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 21 x 617 = 466452
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 36,378,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,378,617) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(36,378,617) x common factors =1 x 18 = 18
LCM(36,378,617) = ( 36 × 378 × 617 ) / 18
LCM(36,378,617) = 8396136 / 18
LCM(36,378,617) = 466452
Lets's calculate GCF of 224,614,254
2 | 224, 614, 254 |
112, 307, 127 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 466452/2
Therefore the LCM of Fractions 36/224,378/614,617/254 is 233226
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 224,614,254 . The biggest common factor number is the GCF number.
So the greatest common factor 224,614,254 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 36/224, 378/614, 617/254?
Answer: LCM of Numerators as per given numbers 36/224, 378/614, 617/254 is
LCM of Numerators i.e. for 36,378,617 is 466452
GCF of denominators i.e. for 224,614,254 is 2.
Thus, LCM of Fractions is 233226.Finally, LCM of Fractions for 36/224, 378/614, 617/254 is 233226.