LCM of 638, 340, 407, 320, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 340, 407, 320, 721 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 638, 340, 407, 320, 721. So, keep reading to learn more.
Given numbers are 638,340,407,320,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,340,407,320,721 is 46294198720.
Find LCM of 638,340,407,320,721 with Prime Factorization
| 2 | 638, 340, 407, 320, 721 |
| 2 | 319, 170, 407, 160, 721 |
| 5 | 319, 85, 407, 80, 721 |
| 11 | 319, 17, 407, 16, 721 |
| 29, 17, 37, 16, 721 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 29 x 17 x 37 x 16 x 721 = 46294198720
Therefore, the lowest common multiple of 638,340,407,320,721 is 46294198720.
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.
638 x 340 x 407 x 320 x 721 = 20369447436800
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
407 : 1, 11, 37, 407
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,340,407,320,721, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
340:2x 2x 5x 17
407:11x 37
320:2x 2x 2x 2x 2x 2x 5
721:7x 103
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 20369447436800/(1x440)
LCM = 20369447436800/440
LCM = 46294198720
Thus, we can understand that the LCM of 638,340,407,320,721 is 46294198720.
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FAQs on LCM of 638, 340, 407, 320, 721
1. What is the LCM of 638, 340, 407, 320, 721?
Answer: LCM of 638, 340, 407, 320, 721 is 46294198720.
2. How to calculate the LCM of 638, 340, 407, 320, 721?
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 638, 340, 407, 320, 721.
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}.