LCM of 851, 555, 958, 551, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 555, 958, 551, 800 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 851, 555, 958, 551, 800. So, keep reading to learn more.
Given numbers are 851,555,958,551,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,555,958,551,800 is 539048589600.
Find LCM of 851,555,958,551,800 with Prime Factorization
| 2 | 851, 555, 958, 551, 800 |
| 5 | 851, 555, 479, 551, 400 |
| 37 | 851, 111, 479, 551, 80 |
| 23, 3, 479, 551, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 37 x 23 x 3 x 479 x 551 x 80 = 539048589600
Therefore, the lowest common multiple of 851,555,958,551,800 is 539048589600.
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.
851 x 555 x 958 x 551 x 800 = 199447978152000
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.
851 : 1, 23, 37, 851
555 : 1, 3, 5, 15, 37, 111, 185, 555
958 : 1, 2, 479, 958
551 : 1, 19, 29, 551
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,555,958,551,800, is 1.
Now, the common factors can be found like this.
851:23x 37
555:3x 5x 37
958:2x 479
551:19x 29
800:2x 2x 2x 2x 2x 5x 5
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 37 = 370
Therefore, the value for common factors is 370.
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 = 199447978152000/(1x370)
LCM = 199447978152000/370
LCM = 539048589600
Thus, we can understand that the LCM of 851,555,958,551,800 is 539048589600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 555, 958, 551, 800
1. What is the LCM of 851, 555, 958, 551, 800?
Answer: LCM of 851, 555, 958, 551, 800 is 539048589600.
2. How to calculate the LCM of 851, 555, 958, 551, 800?
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 851, 555, 958, 551, 800.
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}.