Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/66, 63/86, 46/76, 89/604 quickly i.e. 1676493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/66, 63/86, 46/76, 89/604 is 1676493.
LCM(91/66, 63/86, 46/76, 89/604) = 1676493
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/66,63/86,46/76,89/604
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 91,63,46,89
Least Common Multiple of Numerators i.e. LCM of 91,63,46,89 is 3352986.
GCF of Denominators means GCF of 66,86,76,604 as per the given fractions.
GCF of 66,86,76,604 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,63,46,89
7 | 91, 63, 46, 89 |
13, 9, 46, 89 |
∴ So the LCM of the given numbers is 7 x 13 x 9 x 46 x 89 = 3352986
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 91,63,46,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,63,46,89) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(91,63,46,89) x common factors =1 x 7 = 7
LCM(91,63,46,89) = ( 91 × 63 × 46 × 89 ) / 7
LCM(91,63,46,89) = 23470902 / 7
LCM(91,63,46,89) = 3352986
Lets's calculate GCF of 66,86,76,604
2 | 66, 86, 76, 604 |
33, 43, 38, 302 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3352986/2
Therefore the LCM of Fractions 91/66,63/86,46/76,89/604 is 1676493
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Greatest Common Factor
We found the factors 66,86,76,604 . The biggest common factor number is the GCF number.
So the greatest common factor 66,86,76,604 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 91/66, 63/86, 46/76, 89/604?
Answer: LCM of Numerators as per given numbers 91/66, 63/86, 46/76, 89/604 is
LCM of Numerators i.e. for 91,63,46,89 is 3352986
GCF of denominators i.e. for 66,86,76,604 is 2.
Thus, LCM of Fractions is 1676493.Finally, LCM of Fractions for 91/66, 63/86, 46/76, 89/604 is 1676493.