Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/918, 396/333, 763/237 quickly i.e. 2920764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/918, 396/333, 763/237 is 2920764.
LCM(29/918, 396/333, 763/237) = 2920764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/918,396/333,763/237
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 29,396,763
Least Common Multiple of Numerators i.e. LCM of 29,396,763 is 8762292.
GCF of Denominators means GCF of 918,333,237 as per the given fractions.
GCF of 918,333,237 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,396,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 8762292
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 29,396,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,396,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,396,763) x common factors =1 x 1 = 1
LCM(29,396,763) = ( 29 × 396 × 763 ) / 1
LCM(29,396,763) = 8762292 / 1
LCM(29,396,763) = 8762292
Lets's calculate GCF of 918,333,237
3 | 918, 333, 237 |
306, 111, 79 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8762292/3
Therefore the LCM of Fractions 29/918,396/333,763/237 is 2920764
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 918,333,237 . The biggest common factor number is the GCF number.
So the greatest common factor 918,333,237 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 29/918, 396/333, 763/237?
Answer: LCM of Numerators as per given numbers 29/918, 396/333, 763/237 is
LCM of Numerators i.e. for 29,396,763 is 8762292
GCF of denominators i.e. for 918,333,237 is 3.
Thus, LCM of Fractions is 2920764.Finally, LCM of Fractions for 29/918, 396/333, 763/237 is 2920764.