LCM of 899, 938, 346, 410, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 938, 346, 410, 579 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 899, 938, 346, 410, 579. So, keep reading to learn more.
Given numbers are 899,938,346,410,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,938,346,410,579 is 17315740074570.
Find LCM of 899,938,346,410,579 with Prime Factorization
| 2 | 899, 938, 346, 410, 579 |
| 899, 469, 173, 205, 579 |
Multiply the prime numbers at the bottom and the left side.
2 x 899 x 469 x 173 x 205 x 579 = 17315740074570
Therefore, the lowest common multiple of 899,938,346,410,579 is 17315740074570.
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.
899 x 938 x 346 x 410 x 579 = 69262960298280
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.
899 : 1, 29, 31, 899
938 : 1, 2, 7, 14, 67, 134, 469, 938
346 : 1, 2, 173, 346
410 : 1, 2, 5, 10, 41, 82, 205, 410
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,938,346,410,579, is 1.
Now, the common factors can be found like this.
899:29x 31
938:2x 7x 67
346:2x 173
410:2x 5x 41
579:3x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 69262960298280/(1x4)
LCM = 69262960298280/4
LCM = 17315740074570
Thus, we can understand that the LCM of 899,938,346,410,579 is 17315740074570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 899, 938, 346, 410, 579
1. What is the LCM of 899, 938, 346, 410, 579?
Answer: LCM of 899, 938, 346, 410, 579 is 17315740074570.
2. How to calculate the LCM of 899, 938, 346, 410, 579?
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 899, 938, 346, 410, 579.
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}.