LCM of 362, 627, 273, 506, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 627, 273, 506, 413 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 362, 627, 273, 506, 413. So, keep reading to learn more.
Given numbers are 362,627,273,506,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,627,273,506,413 is 28028338338.
Find LCM of 362,627,273,506,413 with Prime Factorization
| 2 | 362, 627, 273, 506, 413 |
| 3 | 181, 627, 273, 253, 413 |
| 7 | 181, 209, 91, 253, 413 |
| 11 | 181, 209, 13, 253, 59 |
| 181, 19, 13, 23, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 181 x 19 x 13 x 23 x 59 = 28028338338
Therefore, the lowest common multiple of 362,627,273,506,413 is 28028338338.
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.
362 x 627 x 273 x 506 x 413 = 12949092312156
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.
362 : 1, 2, 181, 362
627 : 1, 3, 11, 19, 33, 57, 209, 627
273 : 1, 3, 7, 13, 21, 39, 91, 273
506 : 1, 2, 11, 22, 23, 46, 253, 506
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,627,273,506,413, is 1.
Now, the common factors can be found like this.
362:2x 181
627:3x 11x 19
273:3x 7x 13
506:2x 11x 23
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 12949092312156/(1x462)
LCM = 12949092312156/462
LCM = 28028338338
Thus, we can understand that the LCM of 362,627,273,506,413 is 28028338338.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 627, 273, 506, 413
1. What is the LCM of 362, 627, 273, 506, 413?
Answer: LCM of 362, 627, 273, 506, 413 is 28028338338.
2. How to calculate the LCM of 362, 627, 273, 506, 413?
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 362, 627, 273, 506, 413.
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}.