LCM of 506, 372, 589, 386, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 372, 589, 386, 394 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 506, 372, 589, 386, 394. So, keep reading to learn more.
Given numbers are 506,372,589,386,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,372,589,386,394 is 67989304284.
Find LCM of 506,372,589,386,394 with Prime Factorization
| 2 | 506, 372, 589, 386, 394 |
| 31 | 253, 186, 589, 193, 197 |
| 253, 6, 19, 193, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 253 x 6 x 19 x 193 x 197 = 67989304284
Therefore, the lowest common multiple of 506,372,589,386,394 is 67989304284.
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.
506 x 372 x 589 x 386 x 394 = 16861347462432
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
589 : 1, 19, 31, 589
386 : 1, 2, 193, 386
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,372,589,386,394, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
372:2x 2x 3x 31
589:19x 31
386:2x 193
394:2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 31 = 248
Therefore, the value for common factors is 248.
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 = 16861347462432/(1x248)
LCM = 16861347462432/248
LCM = 67989304284
Thus, we can understand that the LCM of 506,372,589,386,394 is 67989304284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 506, 372, 589, 386, 394
1. What is the LCM of 506, 372, 589, 386, 394?
Answer: LCM of 506, 372, 589, 386, 394 is 67989304284.
2. How to calculate the LCM of 506, 372, 589, 386, 394?
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 506, 372, 589, 386, 394.
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}.