LCM of 816, 416, 292, 543, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 416, 292, 543, 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 816, 416, 292, 543, 507. So, keep reading to learn more.
Given numbers are 816,416,292,543,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,416,292,543,507 is 3644251104.
Find LCM of 816,416,292,543,507 with Prime Factorization
| 2 | 816, 416, 292, 543, 507 |
| 2 | 408, 208, 146, 543, 507 |
| 2 | 204, 104, 73, 543, 507 |
| 2 | 102, 52, 73, 543, 507 |
| 3 | 51, 26, 73, 543, 507 |
| 13 | 17, 26, 73, 181, 169 |
| 17, 2, 73, 181, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 17 x 2 x 73 x 181 x 13 = 3644251104
Therefore, the lowest common multiple of 816,416,292,543,507 is 3644251104.
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 416 x 292 x 543 x 507 = 27288152266752
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
292 : 1, 2, 4, 73, 146, 292
543 : 1, 3, 181, 543
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 816,416,292,543,507, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
416:2x 2x 2x 2x 2x 13
292:2x 2x 73
543:3x 181
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 2x 2x 2x 2x 2x 3x 3x 13 = 7488
Therefore, the value for common factors is 7488.
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 = 27288152266752/(1x7488)
LCM = 27288152266752/7488
LCM = 3644251104
Thus, we can understand that the LCM of 816,416,292,543,507 is 3644251104.
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FAQs on LCM of 816, 416, 292, 543, 507
1. What is the LCM of 816, 416, 292, 543, 507?
Answer: LCM of 816, 416, 292, 543, 507 is 3644251104.
2. How to calculate the LCM of 816, 416, 292, 543, 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 816, 416, 292, 543, 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}.