Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/339, 391/484, 900/972 quickly i.e. 10205100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/339, 391/484, 900/972 is 10205100.
LCM(87/339, 391/484, 900/972) = 10205100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/339,391/484,900/972
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 87,391,900
Least Common Multiple of Numerators i.e. LCM of 87,391,900 is 10205100.
GCF of Denominators means GCF of 339,484,972 as per the given fractions.
GCF of 339,484,972 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,391,900
3 | 87, 391, 900 |
29, 391, 300 |
∴ So the LCM of the given numbers is 3 x 29 x 391 x 300 = 10205100
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 87,391,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,391,900) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,391,900) x common factors =1 x 3 = 3
LCM(87,391,900) = ( 87 × 391 × 900 ) / 3
LCM(87,391,900) = 30615300 / 3
LCM(87,391,900) = 10205100
Lets's calculate GCF of 339,484,972
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10205100/1
Therefore the LCM of Fractions 87/339,391/484,900/972 is 10205100
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 339,484,972 . The biggest common factor number is the GCF number.
So the greatest common factor 339,484,972 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 87/339, 391/484, 900/972?
Answer: LCM of Numerators as per given numbers 87/339, 391/484, 900/972 is
LCM of Numerators i.e. for 87,391,900 is 10205100
GCF of denominators i.e. for 339,484,972 is 1.
Thus, LCM of Fractions is 10205100.Finally, LCM of Fractions for 87/339, 391/484, 900/972 is 10205100.