LCM of 328, 420, 731, 606, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 420, 731, 606, 574 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 328, 420, 731, 606, 574. So, keep reading to learn more.
Given numbers are 328,420,731,606,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,420,731,606,574 is 2542739640.
Find LCM of 328,420,731,606,574 with Prime Factorization
| 2 | 328, 420, 731, 606, 574 |
| 2 | 164, 210, 731, 303, 287 |
| 3 | 82, 105, 731, 303, 287 |
| 7 | 82, 35, 731, 101, 287 |
| 41 | 82, 5, 731, 101, 41 |
| 2, 5, 731, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 2 x 5 x 731 x 101 x 1 = 2542739640
Therefore, the lowest common multiple of 328,420,731,606,574 is 2542739640.
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.
328 x 420 x 731 x 606 x 574 = 35028781280640
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
731 : 1, 17, 43, 731
606 : 1, 2, 3, 6, 101, 202, 303, 606
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,420,731,606,574, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
420:2x 2x 3x 5x 7
731:17x 43
606:2x 3x 101
574:2x 7x 41
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 3x 7x 41 = 13776
Therefore, the value for common factors is 13776.
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 = 35028781280640/(1x13776)
LCM = 35028781280640/13776
LCM = 2542739640
Thus, we can understand that the LCM of 328,420,731,606,574 is 2542739640.
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FAQs on LCM of 328, 420, 731, 606, 574
1. What is the LCM of 328, 420, 731, 606, 574?
Answer: LCM of 328, 420, 731, 606, 574 is 2542739640.
2. How to calculate the LCM of 328, 420, 731, 606, 574?
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 328, 420, 731, 606, 574.
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}.