Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/236, 249/676, 289/393 quickly i.e. 1583142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/236, 249/676, 289/393 is 1583142.
LCM(66/236, 249/676, 289/393) = 1583142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/236,249/676,289/393
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 66,249,289
Least Common Multiple of Numerators i.e. LCM of 66,249,289 is 1583142.
GCF of Denominators means GCF of 236,676,393 as per the given fractions.
GCF of 236,676,393 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,249,289
3 | 66, 249, 289 |
22, 83, 289 |
∴ So the LCM of the given numbers is 3 x 22 x 83 x 289 = 1583142
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 66,249,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,249,289) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(66,249,289) x common factors =1 x 3 = 3
LCM(66,249,289) = ( 66 × 249 × 289 ) / 3
LCM(66,249,289) = 4749426 / 3
LCM(66,249,289) = 1583142
Lets's calculate GCF of 236,676,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1583142/1
Therefore the LCM of Fractions 66/236,249/676,289/393 is 1583142
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 236,676,393 . The biggest common factor number is the GCF number.
So the greatest common factor 236,676,393 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 66/236, 249/676, 289/393?
Answer: LCM of Numerators as per given numbers 66/236, 249/676, 289/393 is
LCM of Numerators i.e. for 66,249,289 is 1583142
GCF of denominators i.e. for 236,676,393 is 1.
Thus, LCM of Fractions is 1583142.Finally, LCM of Fractions for 66/236, 249/676, 289/393 is 1583142.