Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/224, 1205/926 quickly i.e. 2410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/224, 1205/926 is 2410.
LCM(964/224, 1205/926) = 2410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/224,1205/926
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 964,1205
Least Common Multiple of Numerators i.e. LCM of 964,1205 is 4820.
GCF of Denominators means GCF of 224,926 as per the given fractions.
GCF of 224,926 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,1205
241 | 964, 1205 |
4, 5 |
∴ So the LCM of the given numbers is 241 x 4 x 5 = 4820
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 964,1205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,1205) = 241
common factors(in case of two or more numbers have common factors) = 1
GCF(964,1205) x common factors =241 x 1 = 241
LCM(964,1205) = ( 964 × 1205 ) / 241
LCM(964,1205) = 1161620 / 241
LCM(964,1205) = 4820
Lets's calculate GCF of 224,926
2 | 224, 926 |
112, 463 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4820/2
Therefore the LCM of Fractions 964/224,1205/926 is 2410
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 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 224,926 . The biggest common factor number is the GCF number.
So the greatest common factor 224,926 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 964/224, 1205/926?
Answer: LCM of Numerators as per given numbers 964/224, 1205/926 is
LCM of Numerators i.e. for 964,1205 is 4820
GCF of denominators i.e. for 224,926 is 2.
Thus, LCM of Fractions is 2410.Finally, LCM of Fractions for 964/224, 1205/926 is 2410.