LCM of 793, 374, 416, 210, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 374, 416, 210, 747 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 793, 374, 416, 210, 747. So, keep reading to learn more.
Given numbers are 793,374,416,210,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,374,416,210,747 is 124066182240.
Find LCM of 793,374,416,210,747 with Prime Factorization
| 2 | 793, 374, 416, 210, 747 |
| 3 | 793, 187, 208, 105, 747 |
| 13 | 793, 187, 208, 35, 249 |
| 61, 187, 16, 35, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 61 x 187 x 16 x 35 x 249 = 124066182240
Therefore, the lowest common multiple of 793,374,416,210,747 is 124066182240.
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.
793 x 374 x 416 x 210 x 747 = 19354324429440
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.
793 : 1, 13, 61, 793
374 : 1, 2, 11, 17, 22, 34, 187, 374
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,374,416,210,747, is 1.
Now, the common factors can be found like this.
793:13x 61
374:2x 11x 17
416:2x 2x 2x 2x 2x 13
210:2x 3x 5x 7
747:3x 3x 83
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 19354324429440/(1x156)
LCM = 19354324429440/156
LCM = 124066182240
Thus, we can understand that the LCM of 793,374,416,210,747 is 124066182240.
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FAQs on LCM of 793, 374, 416, 210, 747
1. What is the LCM of 793, 374, 416, 210, 747?
Answer: LCM of 793, 374, 416, 210, 747 is 124066182240.
2. How to calculate the LCM of 793, 374, 416, 210, 747?
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 793, 374, 416, 210, 747.
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}.