Find the LCM of 513, 250, 380, 736, 362 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 513, 250, 380, 736, 362. So, keep reading to learn more.
Given numbers are 513,250,380,736,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,250,380,736,362 is 8542476000.
Find LCM of 513,250,380,736,362 with Prime Factorization
2 | 513, 250, 380, 736, 362 |
2 | 513, 125, 190, 368, 181 |
5 | 513, 125, 95, 184, 181 |
19 | 513, 25, 19, 184, 181 |
27, 25, 1, 184, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 27 x 25 x 1 x 184 x 181 = 8542476000
Therefore, the lowest common multiple of 513,250,380,736,362 is 8542476000.
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.
513 x 250 x 380 x 736 x 362 = 12984563520000
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
250 : 1, 2, 5, 10, 25, 50, 125, 250
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,250,380,736,362, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
250:2x 5x 5x 5
380:2x 2x 5x 19
736:2x 2x 2x 2x 2x 23
362:2x 181
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 2x 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 12984563520000/(1x1520)
LCM = 12984563520000/1520
LCM = 8542476000
Thus, we can understand that the LCM of 513,250,380,736,362 is 8542476000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 250, 380, 736, 362?
Answer: LCM of 513, 250, 380, 736, 362 is 8542476000.
2. How to calculate the LCM of 513, 250, 380, 736, 362?
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 513, 250, 380, 736, 362.
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}.