Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 900/224, 3397/228 quickly i.e. 764325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 900/224, 3397/228 is 764325.
LCM(900/224, 3397/228) = 764325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 900/224,3397/228
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 900,3397
Least Common Multiple of Numerators i.e. LCM of 900,3397 is 3057300.
GCF of Denominators means GCF of 224,228 as per the given fractions.
GCF of 224,228 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 900,3397
Given numbers has no common factors except 1. So, there LCM is their product i.e 3057300
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 900,3397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,3397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(900,3397) x common factors =1 x 1 = 1
LCM(900,3397) = ( 900 × 3397 ) / 1
LCM(900,3397) = 3057300 / 1
LCM(900,3397) = 3057300
Lets's calculate GCF of 224,228
2 | 224, 228 |
2 | 112, 114 |
56, 57 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3057300/4
Therefore the LCM of Fractions 900/224,3397/228 is 764325
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 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 224,228 . The biggest common factor number is the GCF number.
So the greatest common factor 224,228 is 4.
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 900/224, 3397/228?
Answer: LCM of Numerators as per given numbers 900/224, 3397/228 is
LCM of Numerators i.e. for 900,3397 is 3057300
GCF of denominators i.e. for 224,228 is 4.
Thus, LCM of Fractions is 764325.Finally, LCM of Fractions for 900/224, 3397/228 is 764325.