Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/441, 980/801, 525/953 quickly i.e. 161700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/441, 980/801, 525/953 is 161700.
LCM(44/441, 980/801, 525/953) = 161700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/441,980/801,525/953
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 44,980,525
Least Common Multiple of Numerators i.e. LCM of 44,980,525 is 161700.
GCF of Denominators means GCF of 441,801,953 as per the given fractions.
GCF of 441,801,953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,980,525
2 | 44, 980, 525 |
2 | 22, 490, 525 |
5 | 11, 245, 525 |
7 | 11, 49, 105 |
11, 7, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 11 x 7 x 15 = 161700
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 44,980,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,980,525) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(44,980,525) x common factors =1 x 140 = 140
LCM(44,980,525) = ( 44 × 980 × 525 ) / 140
LCM(44,980,525) = 22638000 / 140
LCM(44,980,525) = 161700
Lets's calculate GCF of 441,801,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161700/1
Therefore the LCM of Fractions 44/441,980/801,525/953 is 161700
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 441,801,953 . The biggest common factor number is the GCF number.
So the greatest common factor 441,801,953 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 44/441, 980/801, 525/953?
Answer: LCM of Numerators as per given numbers 44/441, 980/801, 525/953 is
LCM of Numerators i.e. for 44,980,525 is 161700
GCF of denominators i.e. for 441,801,953 is 1.
Thus, LCM of Fractions is 161700.Finally, LCM of Fractions for 44/441, 980/801, 525/953 is 161700.