LCM of 816, 707, 112, 893, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 707, 112, 893, 782 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 816, 707, 112, 893, 782. So, keep reading to learn more.
Given numbers are 816,707,112,893,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,707,112,893,782 is 11849195568.
Find LCM of 816,707,112,893,782 with Prime Factorization
| 2 | 816, 707, 112, 893, 782 |
| 2 | 408, 707, 56, 893, 391 |
| 2 | 204, 707, 28, 893, 391 |
| 2 | 102, 707, 14, 893, 391 |
| 7 | 51, 707, 7, 893, 391 |
| 17 | 51, 101, 1, 893, 391 |
| 3, 101, 1, 893, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 17 x 3 x 101 x 1 x 893 x 23 = 11849195568
Therefore, the lowest common multiple of 816,707,112,893,782 is 11849195568.
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.
816 x 707 x 112 x 893 x 782 = 45121736722944
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
707 : 1, 7, 101, 707
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
893 : 1, 19, 47, 893
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,707,112,893,782, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
707:7x 101
112:2x 2x 2x 2x 7
893:19x 47
782:2x 17x 23
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 2x 7x 17 = 3808
Therefore, the value for common factors is 3808.
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 = 45121736722944/(1x3808)
LCM = 45121736722944/3808
LCM = 11849195568
Thus, we can understand that the LCM of 816,707,112,893,782 is 11849195568.
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FAQs on LCM of 816, 707, 112, 893, 782
1. What is the LCM of 816, 707, 112, 893, 782?
Answer: LCM of 816, 707, 112, 893, 782 is 11849195568.
2. How to calculate the LCM of 816, 707, 112, 893, 782?
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 816, 707, 112, 893, 782.
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}.