LCM of 351, 693, 408, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 693, 408, 748 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 351, 693, 408, 748. So, keep reading to learn more.
Given numbers are 351,693,408,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,693,408,748 is 3675672.
Find LCM of 351,693,408,748 with Prime Factorization
| 2 | 351, 693, 408, 748 |
| 2 | 351, 693, 204, 374 |
| 3 | 351, 693, 102, 187 |
| 3 | 117, 231, 34, 187 |
| 11 | 39, 77, 34, 187 |
| 17 | 39, 7, 34, 17 |
| 39, 7, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 39 x 7 x 2 x 1 = 3675672
Therefore, the lowest common multiple of 351,693,408,748 is 3675672.
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.
351 x 693 x 408 x 748 = 74233871712
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,693,408,748, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
693:3x 3x 7x 11
408:2x 2x 2x 3x 17
748:2x 2x 11x 17
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 3x 3x 11x 17 = 20196
Therefore, the value for common factors is 20196.
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 = 74233871712/(1x20196)
LCM = 74233871712/20196
LCM = 3675672
Thus, we can understand that the LCM of 351,693,408,748 is 3675672.
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FAQs on LCM of 351, 693, 408, 748
1. What is the LCM of 351, 693, 408, 748?
Answer: LCM of 351, 693, 408, 748 is 3675672.
2. How to calculate the LCM of 351, 693, 408, 748?
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 351, 693, 408, 748.
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}.