LCM of 339, 453, 946, 398, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 453, 946, 398, 221 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 339, 453, 946, 398, 221. So, keep reading to learn more.
Given numbers are 339,453,946,398,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,453,946,398,221 is 2129674015326.
Find LCM of 339,453,946,398,221 with Prime Factorization
| 2 | 339, 453, 946, 398, 221 |
| 3 | 339, 453, 473, 199, 221 |
| 113, 151, 473, 199, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 151 x 473 x 199 x 221 = 2129674015326
Therefore, the lowest common multiple of 339,453,946,398,221 is 2129674015326.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
339 x 453 x 946 x 398 x 221 = 12778044091956
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
339 : 1, 3, 113, 339
453 : 1, 3, 151, 453
946 : 1, 2, 11, 22, 43, 86, 473, 946
398 : 1, 2, 199, 398
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,453,946,398,221, is 1.
Now, the common factors can be found like this.
339:3x 113
453:3x 151
946:2x 11x 43
398:2x 199
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12778044091956/(1x6)
LCM = 12778044091956/6
LCM = 2129674015326
Thus, we can understand that the LCM of 339,453,946,398,221 is 2129674015326.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 339, 453, 946, 398, 221
1. What is the LCM of 339, 453, 946, 398, 221?
Answer: LCM of 339, 453, 946, 398, 221 is 2129674015326.
2. How to calculate the LCM of 339, 453, 946, 398, 221?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 339, 453, 946, 398, 221.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.