Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/468, 969/572, 748/766 quickly i.e. 575586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/468, 969/572, 748/766 is 575586.
LCM(81/468, 969/572, 748/766) = 575586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/468,969/572,748/766
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 81,969,748
Least Common Multiple of Numerators i.e. LCM of 81,969,748 is 1151172.
GCF of Denominators means GCF of 468,572,766 as per the given fractions.
GCF of 468,572,766 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,969,748
3 | 81, 969, 748 |
17 | 27, 323, 748 |
27, 19, 44 |
∴ So the LCM of the given numbers is 3 x 17 x 27 x 19 x 44 = 1151172
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 81,969,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,969,748) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(81,969,748) x common factors =1 x 51 = 51
LCM(81,969,748) = ( 81 × 969 × 748 ) / 51
LCM(81,969,748) = 58709772 / 51
LCM(81,969,748) = 1151172
Lets's calculate GCF of 468,572,766
2 | 468, 572, 766 |
234, 286, 383 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1151172/2
Therefore the LCM of Fractions 81/468,969/572,748/766 is 575586
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 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 468,572,766 . The biggest common factor number is the GCF number.
So the greatest common factor 468,572,766 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 81/468, 969/572, 748/766?
Answer: LCM of Numerators as per given numbers 81/468, 969/572, 748/766 is
LCM of Numerators i.e. for 81,969,748 is 1151172
GCF of denominators i.e. for 468,572,766 is 2.
Thus, LCM of Fractions is 575586.Finally, LCM of Fractions for 81/468, 969/572, 748/766 is 575586.