Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/84, 658/87, 764/324 quickly i.e. 251356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/84, 658/87, 764/324 is 251356.
LCM(12/84, 658/87, 764/324) = 251356
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/84,658/87,764/324
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 12,658,764
Least Common Multiple of Numerators i.e. LCM of 12,658,764 is 754068.
GCF of Denominators means GCF of 84,87,324 as per the given fractions.
GCF of 84,87,324 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,658,764
2 | 12, 658, 764 |
2 | 6, 329, 382 |
3, 329, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 329 x 191 = 754068
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 12,658,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,658,764) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(12,658,764) x common factors =2 x 4 = 8
LCM(12,658,764) = ( 12 × 658 × 764 ) / 8
LCM(12,658,764) = 6032544 / 8
LCM(12,658,764) = 754068
Lets's calculate GCF of 84,87,324
3 | 84, 87, 324 |
28, 29, 108 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 754068/3
Therefore the LCM of Fractions 12/84,658/87,764/324 is 251356
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 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 84,87,324 . The biggest common factor number is the GCF number.
So the greatest common factor 84,87,324 is 3.
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 12/84, 658/87, 764/324?
Answer: LCM of Numerators as per given numbers 12/84, 658/87, 764/324 is
LCM of Numerators i.e. for 12,658,764 is 754068
GCF of denominators i.e. for 84,87,324 is 3.
Thus, LCM of Fractions is 251356.Finally, LCM of Fractions for 12/84, 658/87, 764/324 is 251356.