Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/950, 941/468, 855/654 quickly i.e. 7240995/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/950, 941/468, 855/654 is 7240995/2.
LCM(81/950, 941/468, 855/654) = 7240995/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/950,941/468,855/654
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 81,941,855
Least Common Multiple of Numerators i.e. LCM of 81,941,855 is 7240995.
GCF of Denominators means GCF of 950,468,654 as per the given fractions.
GCF of 950,468,654 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,941,855
3 | 81, 941, 855 |
3 | 27, 941, 285 |
9, 941, 95 |
∴ So the LCM of the given numbers is 3 x 3 x 9 x 941 x 95 = 7240995
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 81,941,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,941,855) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(81,941,855) x common factors =1 x 9 = 9
LCM(81,941,855) = ( 81 × 941 × 855 ) / 9
LCM(81,941,855) = 65168955 / 9
LCM(81,941,855) = 7240995
Lets's calculate GCF of 950,468,654
2 | 950, 468, 654 |
475, 234, 327 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7240995/2
Therefore the LCM of Fractions 81/950,941/468,855/654 is 7240995/2
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 950,468,654 . The biggest common factor number is the GCF number.
So the greatest common factor 950,468,654 is 2.
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 81/950, 941/468, 855/654?
Answer: LCM of Numerators as per given numbers 81/950, 941/468, 855/654 is
LCM of Numerators i.e. for 81,941,855 is 7240995
GCF of denominators i.e. for 950,468,654 is 2.
Thus, LCM of Fractions is 7240995/2.Finally, LCM of Fractions for 81/950, 941/468, 855/654 is 7240995/2.