Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/27, 40/726, 311/951 quickly i.e. 37320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/27, 40/726, 311/951 is 37320.
LCM(90/27, 40/726, 311/951) = 37320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/27,40/726,311/951
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 90,40,311
Least Common Multiple of Numerators i.e. LCM of 90,40,311 is 111960.
GCF of Denominators means GCF of 27,726,951 as per the given fractions.
GCF of 27,726,951 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,40,311
2 | 90, 40, 311 |
5 | 45, 20, 311 |
9, 4, 311 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 4 x 311 = 111960
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 90,40,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,40,311) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(90,40,311) x common factors =1 x 10 = 10
LCM(90,40,311) = ( 90 × 40 × 311 ) / 10
LCM(90,40,311) = 1119600 / 10
LCM(90,40,311) = 111960
Lets's calculate GCF of 27,726,951
3 | 27, 726, 951 |
9, 242, 317 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111960/3
Therefore the LCM of Fractions 90/27,40/726,311/951 is 37320
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 27,726,951 . The biggest common factor number is the GCF number.
So the greatest common factor 27,726,951 is 3.
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 90/27, 40/726, 311/951?
Answer: LCM of Numerators as per given numbers 90/27, 40/726, 311/951 is
LCM of Numerators i.e. for 90,40,311 is 111960
GCF of denominators i.e. for 27,726,951 is 3.
Thus, LCM of Fractions is 37320.Finally, LCM of Fractions for 90/27, 40/726, 311/951 is 37320.