LCM of 380, 494, 637, 901, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 494, 637, 901, 475 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, 494, 637, 901, 475. So, keep reading to learn more.
Given numbers are 380,494,637,901,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,494,637,901,475 is 1090480300.
Find LCM of 380,494,637,901,475 with Prime Factorization
| 2 | 380, 494, 637, 901, 475 |
| 5 | 190, 247, 637, 901, 475 |
| 13 | 38, 247, 637, 901, 95 |
| 19 | 38, 19, 49, 901, 95 |
| 2, 1, 49, 901, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 19 x 2 x 1 x 49 x 901 x 5 = 1090480300
Therefore, the lowest common multiple of 380,494,637,901,475 is 1090480300.
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 494 x 637 x 901 x 475 = 51176240479000
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
637 : 1, 7, 13, 49, 91, 637
901 : 1, 17, 53, 901
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,494,637,901,475, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
494:2x 13x 19
637:7x 7x 13
901:17x 53
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 19x 19 = 46930
Therefore, the value for common factors is 46930.
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 = 51176240479000/(1x46930)
LCM = 51176240479000/46930
LCM = 1090480300
Thus, we can understand that the LCM of 380,494,637,901,475 is 1090480300.
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FAQs on LCM of 380, 494, 637, 901, 475
1. What is the LCM of 380, 494, 637, 901, 475?
Answer: LCM of 380, 494, 637, 901, 475 is 1090480300.
2. How to calculate the LCM of 380, 494, 637, 901, 475?
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, 494, 637, 901, 475.
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}.