Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/754, 39/493 quickly i.e. 39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/754, 39/493 is 39.
LCM(87/754, 39/493) = 39
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/754,39/493
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 87,39
Least Common Multiple of Numerators i.e. LCM of 87,39 is 1131.
GCF of Denominators means GCF of 754,493 as per the given fractions.
GCF of 754,493 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,39
3 | 87, 39 |
29, 13 |
∴ So the LCM of the given numbers is 3 x 29 x 13 = 1131
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 87,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,39) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,39) x common factors =3 x 1 = 3
LCM(87,39) = ( 87 × 39 ) / 3
LCM(87,39) = 3393 / 3
LCM(87,39) = 1131
Lets's calculate GCF of 754,493
29 | 754, 493 |
26, 17 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1131/29
Therefore the LCM of Fractions 87/754,39/493 is 39
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 754,493 . The biggest common factor number is the GCF number.
So the greatest common factor 754,493 is 29.
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 87/754, 39/493?
Answer: LCM of Numerators as per given numbers 87/754, 39/493 is
LCM of Numerators i.e. for 87,39 is 1131
GCF of denominators i.e. for 754,493 is 29.
Thus, LCM of Fractions is 39.Finally, LCM of Fractions for 87/754, 39/493 is 39.