Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/18, 841/61, 149/991 quickly i.e. 250618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/18, 841/61, 149/991 is 250618.
LCM(58/18, 841/61, 149/991) = 250618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/18,841/61,149/991
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 58,841,149
Least Common Multiple of Numerators i.e. LCM of 58,841,149 is 250618.
GCF of Denominators means GCF of 18,61,991 as per the given fractions.
GCF of 18,61,991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,841,149
29 | 58, 841, 149 |
2, 29, 149 |
∴ So the LCM of the given numbers is 29 x 2 x 29 x 149 = 250618
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 58,841,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,841,149) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(58,841,149) x common factors =1 x 29 = 29
LCM(58,841,149) = ( 58 × 841 × 149 ) / 29
LCM(58,841,149) = 7267922 / 29
LCM(58,841,149) = 250618
Lets's calculate GCF of 18,61,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250618/1
Therefore the LCM of Fractions 58/18,841/61,149/991 is 250618
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 18,61,991 . The biggest common factor number is the GCF number.
So the greatest common factor 18,61,991 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 58/18, 841/61, 149/991?
Answer: LCM of Numerators as per given numbers 58/18, 841/61, 149/991 is
LCM of Numerators i.e. for 58,841,149 is 250618
GCF of denominators i.e. for 18,61,991 is 1.
Thus, LCM of Fractions is 250618.Finally, LCM of Fractions for 58/18, 841/61, 149/991 is 250618.