LCM of 219, 363, 398, 657, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 219, 363, 398, 657, 361 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 219, 363, 398, 657, 361. So, keep reading to learn more.
Given numbers are 219,363,398,657,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 219,363,398,657,361 is 11421969966.
Find LCM of 219,363,398,657,361 with Prime Factorization
| 3 | 219, 363, 398, 657, 361 |
| 73 | 73, 121, 398, 219, 361 |
| 1, 121, 398, 3, 361 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 1 x 121 x 398 x 3 x 361 = 11421969966
Therefore, the lowest common multiple of 219,363,398,657,361 is 11421969966.
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.
219 x 363 x 398 x 657 x 361 = 7504234267662
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.
219 : 1, 3, 73, 219
363 : 1, 3, 11, 33, 121, 363
398 : 1, 2, 199, 398
657 : 1, 3, 9, 73, 219, 657
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,363,398,657,361, is 1.
Now, the common factors can be found like this.
219:3x 73
363:3x 11x 11
398:2x 199
657:3x 3x 73
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 73 = 657
Therefore, the value for common factors is 657.
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 = 7504234267662/(1x657)
LCM = 7504234267662/657
LCM = 11421969966
Thus, we can understand that the LCM of 219,363,398,657,361 is 11421969966.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 219, 363, 398, 657, 361
1. What is the LCM of 219, 363, 398, 657, 361?
Answer: LCM of 219, 363, 398, 657, 361 is 11421969966.
2. How to calculate the LCM of 219, 363, 398, 657, 361?
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 219, 363, 398, 657, 361.
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}.