Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/84, 61/30, 36/34, 49/819 quickly i.e. 3120516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/84, 61/30, 36/34, 49/819 is 3120516.
LCM(87/84, 61/30, 36/34, 49/819) = 3120516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/84,61/30,36/34,49/819
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 87,61,36,49
Least Common Multiple of Numerators i.e. LCM of 87,61,36,49 is 3120516.
GCF of Denominators means GCF of 84,30,34,819 as per the given fractions.
GCF of 84,30,34,819 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,61,36,49
3 | 87, 61, 36, 49 |
29, 61, 12, 49 |
∴ So the LCM of the given numbers is 3 x 29 x 61 x 12 x 49 = 3120516
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 87,61,36,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,61,36,49) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,61,36,49) x common factors =1 x 3 = 3
LCM(87,61,36,49) = ( 87 × 61 × 36 × 49 ) / 3
LCM(87,61,36,49) = 9361548 / 3
LCM(87,61,36,49) = 3120516
Lets's calculate GCF of 84,30,34,819
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120516/1
Therefore the LCM of Fractions 87/84,61/30,36/34,49/819 is 3120516
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 84,30,34,819 . The biggest common factor number is the GCF number.
So the greatest common factor 84,30,34,819 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 87/84, 61/30, 36/34, 49/819?
Answer: LCM of Numerators as per given numbers 87/84, 61/30, 36/34, 49/819 is
LCM of Numerators i.e. for 87,61,36,49 is 3120516
GCF of denominators i.e. for 84,30,34,819 is 1.
Thus, LCM of Fractions is 3120516.Finally, LCM of Fractions for 87/84, 61/30, 36/34, 49/819 is 3120516.