LCM of 518, 856, 393, 200, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 856, 393, 200, 707 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 518, 856, 393, 200, 707. So, keep reading to learn more.
Given numbers are 518,856,393,200,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,856,393,200,707 is 220002421800.
Find LCM of 518,856,393,200,707 with Prime Factorization
| 2 | 518, 856, 393, 200, 707 |
| 2 | 259, 428, 393, 100, 707 |
| 2 | 259, 214, 393, 50, 707 |
| 7 | 259, 107, 393, 25, 707 |
| 37, 107, 393, 25, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 37 x 107 x 393 x 25 x 101 = 220002421800
Therefore, the lowest common multiple of 518,856,393,200,707 is 220002421800.
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.
518 x 856 x 393 x 200 x 707 = 24640271241600
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
856 : 1, 2, 4, 8, 107, 214, 428, 856
393 : 1, 3, 131, 393
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,856,393,200,707, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
856:2x 2x 2x 107
393:3x 131
200:2x 2x 2x 5x 5
707:7x 101
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 7 = 112
Therefore, the value for common factors is 112.
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 = 24640271241600/(1x112)
LCM = 24640271241600/112
LCM = 220002421800
Thus, we can understand that the LCM of 518,856,393,200,707 is 220002421800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 518, 856, 393, 200, 707
1. What is the LCM of 518, 856, 393, 200, 707?
Answer: LCM of 518, 856, 393, 200, 707 is 220002421800.
2. How to calculate the LCM of 518, 856, 393, 200, 707?
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 518, 856, 393, 200, 707.
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}.