Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/441, 279/222, 343/435 quickly i.e. 3030405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/441, 279/222, 343/435 is 3030405.
LCM(95/441, 279/222, 343/435) = 3030405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/441,279/222,343/435
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 95,279,343
Least Common Multiple of Numerators i.e. LCM of 95,279,343 is 9091215.
GCF of Denominators means GCF of 441,222,435 as per the given fractions.
GCF of 441,222,435 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,279,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 9091215
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 95,279,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,279,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,279,343) x common factors =1 x 1 = 1
LCM(95,279,343) = ( 95 × 279 × 343 ) / 1
LCM(95,279,343) = 9091215 / 1
LCM(95,279,343) = 9091215
Lets's calculate GCF of 441,222,435
3 | 441, 222, 435 |
147, 74, 145 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9091215/3
Therefore the LCM of Fractions 95/441,279/222,343/435 is 3030405
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 441,222,435 . The biggest common factor number is the GCF number.
So the greatest common factor 441,222,435 is 3.
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 95/441, 279/222, 343/435?
Answer: LCM of Numerators as per given numbers 95/441, 279/222, 343/435 is
LCM of Numerators i.e. for 95,279,343 is 9091215
GCF of denominators i.e. for 441,222,435 is 3.
Thus, LCM of Fractions is 3030405.Finally, LCM of Fractions for 95/441, 279/222, 343/435 is 3030405.