Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2664/662, 8910/331 quickly i.e. 1318680/331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2664/662, 8910/331 is 1318680/331.
LCM(2664/662, 8910/331) = 1318680/331
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2664/662,8910/331
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 2664,8910
Least Common Multiple of Numerators i.e. LCM of 2664,8910 is 1318680.
GCF of Denominators means GCF of 662,331 as per the given fractions.
GCF of 662,331 is 331 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2664,8910
2 | 2664, 8910 |
3 | 1332, 4455 |
3 | 444, 1485 |
148, 495 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 148 x 495 = 1318680
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 2664,8910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2664,8910) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(2664,8910) x common factors =18 x 1 = 18
LCM(2664,8910) = ( 2664 × 8910 ) / 18
LCM(2664,8910) = 23736240 / 18
LCM(2664,8910) = 1318680
Lets's calculate GCF of 662,331
331 | 662, 331 |
2, 1 |
∴ So the GCF of the given numbers is 331 = 331
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1318680/331
Therefore the LCM of Fractions 2664/662,8910/331 is 1318680/331
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 662,331 . The biggest common factor number is the GCF number.
So the greatest common factor 662,331 is 331.
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 2664/662, 8910/331?
Answer: LCM of Numerators as per given numbers 2664/662, 8910/331 is
LCM of Numerators i.e. for 2664,8910 is 1318680
GCF of denominators i.e. for 662,331 is 331.
Thus, LCM of Fractions is 1318680/331.Finally, LCM of Fractions for 2664/662, 8910/331 is 1318680/331.