Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/693, 66/754, 590/550 quickly i.e. 19470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/693, 66/754, 590/550 is 19470.
LCM(55/693, 66/754, 590/550) = 19470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/693,66/754,590/550
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 55,66,590
Least Common Multiple of Numerators i.e. LCM of 55,66,590 is 19470.
GCF of Denominators means GCF of 693,754,550 as per the given fractions.
GCF of 693,754,550 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,66,590
2 | 55, 66, 590 |
5 | 55, 33, 295 |
11 | 11, 33, 59 |
1, 3, 59 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 3 x 59 = 19470
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 55,66,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,66,590) = 1
common factors(in case of two or more numbers have common factors) = 110
GCF(55,66,590) x common factors =1 x 110 = 110
LCM(55,66,590) = ( 55 × 66 × 590 ) / 110
LCM(55,66,590) = 2141700 / 110
LCM(55,66,590) = 19470
Lets's calculate GCF of 693,754,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19470/1
Therefore the LCM of Fractions 55/693,66/754,590/550 is 19470
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 693,754,550 . The biggest common factor number is the GCF number.
So the greatest common factor 693,754,550 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 55/693, 66/754, 590/550?
Answer: LCM of Numerators as per given numbers 55/693, 66/754, 590/550 is
LCM of Numerators i.e. for 55,66,590 is 19470
GCF of denominators i.e. for 693,754,550 is 1.
Thus, LCM of Fractions is 19470.Finally, LCM of Fractions for 55/693, 66/754, 590/550 is 19470.