Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/837, 145/709, 286/901 quickly i.e. 124410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/837, 145/709, 286/901 is 124410.
LCM(33/837, 145/709, 286/901) = 124410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/837,145/709,286/901
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 33,145,286
Least Common Multiple of Numerators i.e. LCM of 33,145,286 is 124410.
GCF of Denominators means GCF of 837,709,901 as per the given fractions.
GCF of 837,709,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,145,286
11 | 33, 145, 286 |
3, 145, 26 |
∴ So the LCM of the given numbers is 11 x 3 x 145 x 26 = 124410
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 33,145,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,145,286) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(33,145,286) x common factors =1 x 11 = 11
LCM(33,145,286) = ( 33 × 145 × 286 ) / 11
LCM(33,145,286) = 1368510 / 11
LCM(33,145,286) = 124410
Lets's calculate GCF of 837,709,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124410/1
Therefore the LCM of Fractions 33/837,145/709,286/901 is 124410
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 837,709,901 . The biggest common factor number is the GCF number.
So the greatest common factor 837,709,901 is 1.
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 33/837, 145/709, 286/901?
Answer: LCM of Numerators as per given numbers 33/837, 145/709, 286/901 is
LCM of Numerators i.e. for 33,145,286 is 124410
GCF of denominators i.e. for 837,709,901 is 1.
Thus, LCM of Fractions is 124410.Finally, LCM of Fractions for 33/837, 145/709, 286/901 is 124410.