LCM of 104, 935, 913, 490, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 935, 913, 490, 507 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 104, 935, 913, 490, 507. So, keep reading to learn more.
Given numbers are 104,935,913,490,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,935,913,490,507 is 15423528120.
Find LCM of 104,935,913,490,507 with Prime Factorization
| 2 | 104, 935, 913, 490, 507 |
| 5 | 52, 935, 913, 245, 507 |
| 11 | 52, 187, 913, 49, 507 |
| 13 | 52, 17, 83, 49, 507 |
| 4, 17, 83, 49, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 4 x 17 x 83 x 49 x 39 = 15423528120
Therefore, the lowest common multiple of 104,935,913,490,507 is 15423528120.
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.
104 x 935 x 913 x 490 x 507 = 22055645211600
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
935 : 1, 5, 11, 17, 55, 85, 187, 935
913 : 1, 11, 83, 913
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,935,913,490,507, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
935:5x 11x 17
913:11x 83
490:2x 5x 7x 7
507:3x 13x 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 5x 11x 13 = 1430
Therefore, the value for common factors is 1430.
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 = 22055645211600/(1x1430)
LCM = 22055645211600/1430
LCM = 15423528120
Thus, we can understand that the LCM of 104,935,913,490,507 is 15423528120.
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FAQs on LCM of 104, 935, 913, 490, 507
1. What is the LCM of 104, 935, 913, 490, 507?
Answer: LCM of 104, 935, 913, 490, 507 is 15423528120.
2. How to calculate the LCM of 104, 935, 913, 490, 507?
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 104, 935, 913, 490, 507.
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}.