LCM of 380, 626, 418, 636, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 626, 418, 636, 477 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 380, 626, 418, 636, 477. So, keep reading to learn more.
Given numbers are 380,626,418,636,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,626,418,636,477 is 624078180.
Find LCM of 380,626,418,636,477 with Prime Factorization
| 2 | 380, 626, 418, 636, 477 |
| 2 | 190, 313, 209, 318, 477 |
| 3 | 95, 313, 209, 159, 477 |
| 19 | 95, 313, 209, 53, 159 |
| 53 | 5, 313, 11, 53, 159 |
| 5, 313, 11, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 53 x 5 x 313 x 11 x 1 x 3 = 624078180
Therefore, the lowest common multiple of 380,626,418,636,477 is 624078180.
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.
380 x 626 x 418 x 636 x 477 = 30165442908480
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
626 : 1, 2, 313, 626
418 : 1, 2, 11, 19, 22, 38, 209, 418
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,626,418,636,477, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
626:2x 313
418:2x 11x 19
636:2x 2x 3x 53
477:3x 3x 53
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 3x 19x 53 = 48336
Therefore, the value for common factors is 48336.
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 = 30165442908480/(1x48336)
LCM = 30165442908480/48336
LCM = 624078180
Thus, we can understand that the LCM of 380,626,418,636,477 is 624078180.
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FAQs on LCM of 380, 626, 418, 636, 477
1. What is the LCM of 380, 626, 418, 636, 477?
Answer: LCM of 380, 626, 418, 636, 477 is 624078180.
2. How to calculate the LCM of 380, 626, 418, 636, 477?
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 380, 626, 418, 636, 477.
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}.