Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 950/45, 458/33, 726/402 quickly i.e. 26323550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 950/45, 458/33, 726/402 is 26323550.
LCM(950/45, 458/33, 726/402) = 26323550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 950/45,458/33,726/402
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 950,458,726
Least Common Multiple of Numerators i.e. LCM of 950,458,726 is 78970650.
GCF of Denominators means GCF of 45,33,402 as per the given fractions.
GCF of 45,33,402 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 950,458,726
2 | 950, 458, 726 |
475, 229, 363 |
∴ So the LCM of the given numbers is 2 x 475 x 229 x 363 = 78970650
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 950,458,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,458,726) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(950,458,726) x common factors =2 x 2 = 4
LCM(950,458,726) = ( 950 × 458 × 726 ) / 4
LCM(950,458,726) = 315882600 / 4
LCM(950,458,726) = 78970650
Lets's calculate GCF of 45,33,402
3 | 45, 33, 402 |
15, 11, 134 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78970650/3
Therefore the LCM of Fractions 950/45,458/33,726/402 is 26323550
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 45,33,402 . The biggest common factor number is the GCF number.
So the greatest common factor 45,33,402 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 950/45, 458/33, 726/402?
Answer: LCM of Numerators as per given numbers 950/45, 458/33, 726/402 is
LCM of Numerators i.e. for 950,458,726 is 78970650
GCF of denominators i.e. for 45,33,402 is 3.
Thus, LCM of Fractions is 26323550.Finally, LCM of Fractions for 950/45, 458/33, 726/402 is 26323550.