Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/571, 834/985, 139/460 quickly i.e. 9174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/571, 834/985, 139/460 is 9174.
LCM(66/571, 834/985, 139/460) = 9174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/571,834/985,139/460
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 66,834,139
Least Common Multiple of Numerators i.e. LCM of 66,834,139 is 9174.
GCF of Denominators means GCF of 571,985,460 as per the given fractions.
GCF of 571,985,460 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,834,139
2 | 66, 834, 139 |
3 | 33, 417, 139 |
139 | 11, 139, 139 |
11, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 139 x 11 x 1 x 1 = 9174
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 66,834,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,834,139) = 1
common factors(in case of two or more numbers have common factors) = 834
GCF(66,834,139) x common factors =1 x 834 = 834
LCM(66,834,139) = ( 66 × 834 × 139 ) / 834
LCM(66,834,139) = 7651116 / 834
LCM(66,834,139) = 9174
Lets's calculate GCF of 571,985,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9174/1
Therefore the LCM of Fractions 66/571,834/985,139/460 is 9174
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 571,985,460 . The biggest common factor number is the GCF number.
So the greatest common factor 571,985,460 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 66/571, 834/985, 139/460?
Answer: LCM of Numerators as per given numbers 66/571, 834/985, 139/460 is
LCM of Numerators i.e. for 66,834,139 is 9174
GCF of denominators i.e. for 571,985,460 is 1.
Thus, LCM of Fractions is 9174.Finally, LCM of Fractions for 66/571, 834/985, 139/460 is 9174.