Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/82, 775/77, 121/821 quickly i.e. 375100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/82, 775/77, 121/821 is 375100.
LCM(44/82, 775/77, 121/821) = 375100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/82,775/77,121/821
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 44,775,121
Least Common Multiple of Numerators i.e. LCM of 44,775,121 is 375100.
GCF of Denominators means GCF of 82,77,821 as per the given fractions.
GCF of 82,77,821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,775,121
11 | 44, 775, 121 |
4, 775, 11 |
∴ So the LCM of the given numbers is 11 x 4 x 775 x 11 = 375100
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 44,775,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,775,121) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(44,775,121) x common factors =1 x 11 = 11
LCM(44,775,121) = ( 44 × 775 × 121 ) / 11
LCM(44,775,121) = 4126100 / 11
LCM(44,775,121) = 375100
Lets's calculate GCF of 82,77,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375100/1
Therefore the LCM of Fractions 44/82,775/77,121/821 is 375100
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Greatest Common Factor
We found the factors 82,77,821 . The biggest common factor number is the GCF number.
So the greatest common factor 82,77,821 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 44/82, 775/77, 121/821?
Answer: LCM of Numerators as per given numbers 44/82, 775/77, 121/821 is
LCM of Numerators i.e. for 44,775,121 is 375100
GCF of denominators i.e. for 82,77,821 is 1.
Thus, LCM of Fractions is 375100.Finally, LCM of Fractions for 44/82, 775/77, 121/821 is 375100.