Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/322, 681/533, 987/756 quickly i.e. 13891038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/322, 681/533, 987/756 is 13891038.
LCM(62/322, 681/533, 987/756) = 13891038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/322,681/533,987/756
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 62,681,987
Least Common Multiple of Numerators i.e. LCM of 62,681,987 is 13891038.
GCF of Denominators means GCF of 322,533,756 as per the given fractions.
GCF of 322,533,756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,681,987
3 | 62, 681, 987 |
62, 227, 329 |
∴ So the LCM of the given numbers is 3 x 62 x 227 x 329 = 13891038
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 62,681,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,681,987) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(62,681,987) x common factors =1 x 3 = 3
LCM(62,681,987) = ( 62 × 681 × 987 ) / 3
LCM(62,681,987) = 41673114 / 3
LCM(62,681,987) = 13891038
Lets's calculate GCF of 322,533,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13891038/1
Therefore the LCM of Fractions 62/322,681/533,987/756 is 13891038
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 322,533,756 . The biggest common factor number is the GCF number.
So the greatest common factor 322,533,756 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 62/322, 681/533, 987/756?
Answer: LCM of Numerators as per given numbers 62/322, 681/533, 987/756 is
LCM of Numerators i.e. for 62,681,987 is 13891038
GCF of denominators i.e. for 322,533,756 is 1.
Thus, LCM of Fractions is 13891038.Finally, LCM of Fractions for 62/322, 681/533, 987/756 is 13891038.