LCM of 779, 585, 893, 103, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 585, 893, 103, 910 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 779, 585, 893, 103, 910. So, keep reading to learn more.
Given numbers are 779,585,893,103,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,585,893,103,910 is 30885628410.
Find LCM of 779,585,893,103,910 with Prime Factorization
| 5 | 779, 585, 893, 103, 910 |
| 13 | 779, 117, 893, 103, 182 |
| 19 | 779, 9, 893, 103, 14 |
| 41, 9, 47, 103, 14 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 19 x 41 x 9 x 47 x 103 x 14 = 30885628410
Therefore, the lowest common multiple of 779,585,893,103,910 is 30885628410.
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.
779 x 585 x 893 x 103 x 910 = 38143751086350
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.
779 : 1, 19, 41, 779
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
893 : 1, 19, 47, 893
103 : 1, 103
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,585,893,103,910, is 1.
Now, the common factors can be found like this.
779:19x 41
585:3x 3x 5x 13
893:19x 47
103:103
910:2x 5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 19 = 1235
Therefore, the value for common factors is 1235.
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 = 38143751086350/(1x1235)
LCM = 38143751086350/1235
LCM = 30885628410
Thus, we can understand that the LCM of 779,585,893,103,910 is 30885628410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 779, 585, 893, 103, 910
1. What is the LCM of 779, 585, 893, 103, 910?
Answer: LCM of 779, 585, 893, 103, 910 is 30885628410.
2. How to calculate the LCM of 779, 585, 893, 103, 910?
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 779, 585, 893, 103, 910.
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}.