LCM of 400, 617, 623, 890, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 617, 623, 890, 816 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 400, 617, 623, 890, 816. So, keep reading to learn more.
Given numbers are 400,617,623,890,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,617,623,890,816 is 7841576400.
Find LCM of 400,617,623,890,816 with Prime Factorization
| 2 | 400, 617, 623, 890, 816 |
| 2 | 200, 617, 623, 445, 408 |
| 2 | 100, 617, 623, 445, 204 |
| 2 | 50, 617, 623, 445, 102 |
| 5 | 25, 617, 623, 445, 51 |
| 89 | 5, 617, 623, 89, 51 |
| 5, 617, 7, 1, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 89 x 5 x 617 x 7 x 1 x 51 = 7841576400
Therefore, the lowest common multiple of 400,617,623,890,816 is 7841576400.
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.
400 x 617 x 623 x 890 x 816 = 111664047936000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
617 : 1, 617
623 : 1, 7, 89, 623
890 : 1, 2, 5, 10, 89, 178, 445, 890
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,617,623,890,816, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
617:617
623:7x 89
890:2x 5x 89
816:2x 2x 2x 2x 3x 17
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 2x 5x 89 = 14240
Therefore, the value for common factors is 14240.
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 = 111664047936000/(1x14240)
LCM = 111664047936000/14240
LCM = 7841576400
Thus, we can understand that the LCM of 400,617,623,890,816 is 7841576400.
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FAQs on LCM of 400, 617, 623, 890, 816
1. What is the LCM of 400, 617, 623, 890, 816?
Answer: LCM of 400, 617, 623, 890, 816 is 7841576400.
2. How to calculate the LCM of 400, 617, 623, 890, 816?
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 400, 617, 623, 890, 816.
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}.