Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/88, 62/10, 561/122 quickly i.e. 1443453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/88, 62/10, 561/122 is 1443453.
LCM(83/88, 62/10, 561/122) = 1443453
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/88,62/10,561/122
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 83,62,561
Least Common Multiple of Numerators i.e. LCM of 83,62,561 is 2886906.
GCF of Denominators means GCF of 88,10,122 as per the given fractions.
GCF of 88,10,122 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,62,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 2886906
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 83,62,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,62,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,62,561) x common factors =1 x 1 = 1
LCM(83,62,561) = ( 83 × 62 × 561 ) / 1
LCM(83,62,561) = 2886906 / 1
LCM(83,62,561) = 2886906
Lets's calculate GCF of 88,10,122
2 | 88, 10, 122 |
44, 5, 61 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2886906/2
Therefore the LCM of Fractions 83/88,62/10,561/122 is 1443453
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 88,10,122 . The biggest common factor number is the GCF number.
So the greatest common factor 88,10,122 is 2.
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 83/88, 62/10, 561/122?
Answer: LCM of Numerators as per given numbers 83/88, 62/10, 561/122 is
LCM of Numerators i.e. for 83,62,561 is 2886906
GCF of denominators i.e. for 88,10,122 is 2.
Thus, LCM of Fractions is 1443453.Finally, LCM of Fractions for 83/88, 62/10, 561/122 is 1443453.