LCM of 853, 507, 820, 715, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 507, 820, 715, 104 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 853, 507, 820, 715, 104. So, keep reading to learn more.
Given numbers are 853,507,820,715,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,507,820,715,104 is 7801776840.
Find LCM of 853,507,820,715,104 with Prime Factorization
| 2 | 853, 507, 820, 715, 104 |
| 2 | 853, 507, 410, 715, 52 |
| 5 | 853, 507, 205, 715, 26 |
| 13 | 853, 507, 41, 143, 26 |
| 853, 39, 41, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 853 x 39 x 41 x 11 x 2 = 7801776840
Therefore, the lowest common multiple of 853,507,820,715,104 is 7801776840.
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.
853 x 507 x 820 x 715 x 104 = 26370005719200
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.
853 : 1, 853
507 : 1, 3, 13, 39, 169, 507
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
715 : 1, 5, 11, 13, 55, 65, 143, 715
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,507,820,715,104, is 1.
Now, the common factors can be found like this.
853:853
507:3x 13x 13
820:2x 2x 5x 41
715:5x 11x 13
104:2x 2x 2x 13
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 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 26370005719200/(1x3380)
LCM = 26370005719200/3380
LCM = 7801776840
Thus, we can understand that the LCM of 853,507,820,715,104 is 7801776840.
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FAQs on LCM of 853, 507, 820, 715, 104
1. What is the LCM of 853, 507, 820, 715, 104?
Answer: LCM of 853, 507, 820, 715, 104 is 7801776840.
2. How to calculate the LCM of 853, 507, 820, 715, 104?
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 853, 507, 820, 715, 104.
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}.