Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/983, 60/281, 123/918 quickly i.e. 71340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/983, 60/281, 123/918 is 71340.
LCM(58/983, 60/281, 123/918) = 71340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/983,60/281,123/918
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 58,60,123
Least Common Multiple of Numerators i.e. LCM of 58,60,123 is 71340.
GCF of Denominators means GCF of 983,281,918 as per the given fractions.
GCF of 983,281,918 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,60,123
2 | 58, 60, 123 |
3 | 29, 30, 123 |
29, 10, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 10 x 41 = 71340
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 58,60,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,60,123) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(58,60,123) x common factors =1 x 6 = 6
LCM(58,60,123) = ( 58 × 60 × 123 ) / 6
LCM(58,60,123) = 428040 / 6
LCM(58,60,123) = 71340
Lets's calculate GCF of 983,281,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71340/1
Therefore the LCM of Fractions 58/983,60/281,123/918 is 71340
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 983,281,918 . The biggest common factor number is the GCF number.
So the greatest common factor 983,281,918 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 58/983, 60/281, 123/918?
Answer: LCM of Numerators as per given numbers 58/983, 60/281, 123/918 is
LCM of Numerators i.e. for 58,60,123 is 71340
GCF of denominators i.e. for 983,281,918 is 1.
Thus, LCM of Fractions is 71340.Finally, LCM of Fractions for 58/983, 60/281, 123/918 is 71340.