Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/957, 64/315, 625/549 quickly i.e. 280000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/957, 64/315, 625/549 is 280000.
LCM(84/957, 64/315, 625/549) = 280000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/957,64/315,625/549
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 84,64,625
Least Common Multiple of Numerators i.e. LCM of 84,64,625 is 840000.
GCF of Denominators means GCF of 957,315,549 as per the given fractions.
GCF of 957,315,549 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,64,625
2 | 84, 64, 625 |
2 | 42, 32, 625 |
21, 16, 625 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 16 x 625 = 840000
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 84,64,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,64,625) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(84,64,625) x common factors =1 x 4 = 4
LCM(84,64,625) = ( 84 × 64 × 625 ) / 4
LCM(84,64,625) = 3360000 / 4
LCM(84,64,625) = 840000
Lets's calculate GCF of 957,315,549
3 | 957, 315, 549 |
319, 105, 183 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840000/3
Therefore the LCM of Fractions 84/957,64/315,625/549 is 280000
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 957,315,549 . The biggest common factor number is the GCF number.
So the greatest common factor 957,315,549 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 84/957, 64/315, 625/549?
Answer: LCM of Numerators as per given numbers 84/957, 64/315, 625/549 is
LCM of Numerators i.e. for 84,64,625 is 840000
GCF of denominators i.e. for 957,315,549 is 3.
Thus, LCM of Fractions is 280000.Finally, LCM of Fractions for 84/957, 64/315, 625/549 is 280000.