Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/221, 525/776, 270/908 quickly i.e. 387450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/221, 525/776, 270/908 is 387450.
LCM(41/221, 525/776, 270/908) = 387450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/221,525/776,270/908
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 41,525,270
Least Common Multiple of Numerators i.e. LCM of 41,525,270 is 387450.
GCF of Denominators means GCF of 221,776,908 as per the given fractions.
GCF of 221,776,908 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,525,270
3 | 41, 525, 270 |
5 | 41, 175, 90 |
41, 35, 18 |
∴ So the LCM of the given numbers is 3 x 5 x 41 x 35 x 18 = 387450
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 41,525,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,525,270) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(41,525,270) x common factors =1 x 15 = 15
LCM(41,525,270) = ( 41 × 525 × 270 ) / 15
LCM(41,525,270) = 5811750 / 15
LCM(41,525,270) = 387450
Lets's calculate GCF of 221,776,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387450/1
Therefore the LCM of Fractions 41/221,525/776,270/908 is 387450
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 221,776,908 . The biggest common factor number is the GCF number.
So the greatest common factor 221,776,908 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 41/221, 525/776, 270/908?
Answer: LCM of Numerators as per given numbers 41/221, 525/776, 270/908 is
LCM of Numerators i.e. for 41,525,270 is 387450
GCF of denominators i.e. for 221,776,908 is 1.
Thus, LCM of Fractions is 387450.Finally, LCM of Fractions for 41/221, 525/776, 270/908 is 387450.