Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 550/66, 550/62, 705/17 quickly i.e. 77550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 550/66, 550/62, 705/17 is 77550.
LCM(550/66, 550/62, 705/17) = 77550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 550/66,550/62,705/17
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 550,550,705
Least Common Multiple of Numerators i.e. LCM of 550,550,705 is 77550.
GCF of Denominators means GCF of 66,62,17 as per the given fractions.
GCF of 66,62,17 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 550,550,705
2 | 550, 550, 705 |
5 | 275, 275, 705 |
5 | 55, 55, 141 |
11 | 11, 11, 141 |
1, 1, 141 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 11 x 1 x 1 x 141 = 77550
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 550,550,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,550,705) = 5
common factors(in case of two or more numbers have common factors) = 550
GCF(550,550,705) x common factors =5 x 550 = 2750
LCM(550,550,705) = ( 550 × 550 × 705 ) / 2750
LCM(550,550,705) = 213262500 / 2750
LCM(550,550,705) = 77550
Lets's calculate GCF of 66,62,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77550/1
Therefore the LCM of Fractions 550/66,550/62,705/17 is 77550
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Greatest Common Factor
We found the factors 66,62,17 . The biggest common factor number is the GCF number.
So the greatest common factor 66,62,17 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 550/66, 550/62, 705/17?
Answer: LCM of Numerators as per given numbers 550/66, 550/62, 705/17 is
LCM of Numerators i.e. for 550,550,705 is 77550
GCF of denominators i.e. for 66,62,17 is 1.
Thus, LCM of Fractions is 77550.Finally, LCM of Fractions for 550/66, 550/62, 705/17 is 77550.