LCM of 610, 559, 387, 906, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 610, 559, 387, 906, 802 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 610, 559, 387, 906, 802. So, keep reading to learn more.
Given numbers are 610,559,387,906,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,559,387,906,802 is 185825569410.
Find LCM of 610,559,387,906,802 with Prime Factorization
| 2 | 610, 559, 387, 906, 802 |
| 3 | 305, 559, 387, 453, 401 |
| 43 | 305, 559, 129, 151, 401 |
| 305, 13, 3, 151, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 305 x 13 x 3 x 151 x 401 = 185825569410
Therefore, the lowest common multiple of 610,559,387,906,802 is 185825569410.
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.
610 x 559 x 387 x 906 x 802 = 95885993815560
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
559 : 1, 13, 43, 559
387 : 1, 3, 9, 43, 129, 387
906 : 1, 2, 3, 6, 151, 302, 453, 906
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,559,387,906,802, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
559:13x 43
387:3x 3x 43
906:2x 3x 151
802:2x 401
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 3x 43 = 516
Therefore, the value for common factors is 516.
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 = 95885993815560/(1x516)
LCM = 95885993815560/516
LCM = 185825569410
Thus, we can understand that the LCM of 610,559,387,906,802 is 185825569410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 610, 559, 387, 906, 802
1. What is the LCM of 610, 559, 387, 906, 802?
Answer: LCM of 610, 559, 387, 906, 802 is 185825569410.
2. How to calculate the LCM of 610, 559, 387, 906, 802?
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 610, 559, 387, 906, 802.
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}.