LCM of 757, 120, 408, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 120, 408, 409 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 757, 120, 408, 409. So, keep reading to learn more.
Given numbers are 757,120,408,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,120,408,409 is 631610520.
Find LCM of 757,120,408,409 with Prime Factorization
| 2 | 757, 120, 408, 409 |
| 2 | 757, 60, 204, 409 |
| 2 | 757, 30, 102, 409 |
| 3 | 757, 15, 51, 409 |
| 757, 5, 17, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 757 x 5 x 17 x 409 = 631610520
Therefore, the lowest common multiple of 757,120,408,409 is 631610520.
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.
757 x 120 x 408 x 409 = 15158652480
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.
757 : 1, 757
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,120,408,409, is 1.
Now, the common factors can be found like this.
757:757
120:2x 2x 2x 3x 5
408:2x 2x 2x 3x 17
409:409
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 3 = 24
Therefore, the value for common factors is 24.
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 = 15158652480/(1x24)
LCM = 15158652480/24
LCM = 631610520
Thus, we can understand that the LCM of 757,120,408,409 is 631610520.
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FAQs on LCM of 757, 120, 408, 409
1. What is the LCM of 757, 120, 408, 409?
Answer: LCM of 757, 120, 408, 409 is 631610520.
2. How to calculate the LCM of 757, 120, 408, 409?
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 757, 120, 408, 409.
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}.