Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 664/22, 249/37, 880/413 quickly i.e. 219120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 664/22, 249/37, 880/413 is 219120.
LCM(664/22, 249/37, 880/413) = 219120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 664/22,249/37,880/413
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 664,249,880
Least Common Multiple of Numerators i.e. LCM of 664,249,880 is 219120.
GCF of Denominators means GCF of 22,37,413 as per the given fractions.
GCF of 22,37,413 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 664,249,880
2 | 664, 249, 880 |
2 | 332, 249, 440 |
2 | 166, 249, 220 |
83 | 83, 249, 110 |
1, 3, 110 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 1 x 3 x 110 = 219120
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 664,249,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,249,880) = 1
common factors(in case of two or more numbers have common factors) = 664
GCF(664,249,880) x common factors =1 x 664 = 664
LCM(664,249,880) = ( 664 × 249 × 880 ) / 664
LCM(664,249,880) = 145495680 / 664
LCM(664,249,880) = 219120
Lets's calculate GCF of 22,37,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219120/1
Therefore the LCM of Fractions 664/22,249/37,880/413 is 219120
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 22,37,413 . The biggest common factor number is the GCF number.
So the greatest common factor 22,37,413 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 664/22, 249/37, 880/413?
Answer: LCM of Numerators as per given numbers 664/22, 249/37, 880/413 is
LCM of Numerators i.e. for 664,249,880 is 219120
GCF of denominators i.e. for 22,37,413 is 1.
Thus, LCM of Fractions is 219120.Finally, LCM of Fractions for 664/22, 249/37, 880/413 is 219120.