Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/564, 5551/1519 quickly i.e. 66612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/564, 5551/1519 is 66612.
LCM(84/564, 5551/1519) = 66612
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/564,5551/1519
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 84,5551
Least Common Multiple of Numerators i.e. LCM of 84,5551 is 66612.
GCF of Denominators means GCF of 564,1519 as per the given fractions.
GCF of 564,1519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,5551
7 | 84, 5551 |
12, 793 |
∴ So the LCM of the given numbers is 7 x 12 x 793 = 66612
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 84,5551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,5551) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(84,5551) x common factors =7 x 1 = 7
LCM(84,5551) = ( 84 × 5551 ) / 7
LCM(84,5551) = 466284 / 7
LCM(84,5551) = 66612
Lets's calculate GCF of 564,1519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66612/1
Therefore the LCM of Fractions 84/564,5551/1519 is 66612
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Factors of 1519
List of positive integer factors of 1519 that divides 1519 without a remainder.
1,7,31,49,217,1519
Greatest Common Factor
We found the factors 564,1519 . The biggest common factor number is the GCF number.
So the greatest common factor 564,1519 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 84/564, 5551/1519?
Answer: LCM of Numerators as per given numbers 84/564, 5551/1519 is
LCM of Numerators i.e. for 84,5551 is 66612
GCF of denominators i.e. for 564,1519 is 1.
Thus, LCM of Fractions is 66612.Finally, LCM of Fractions for 84/564, 5551/1519 is 66612.