LCM of 396, 409, 760, 426, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 409, 760, 426, 732 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 396, 409, 760, 426, 732. So, keep reading to learn more.
Given numbers are 396,409,760,426,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,409,760,426,732 is 133278555960.
Find LCM of 396,409,760,426,732 with Prime Factorization
| 2 | 396, 409, 760, 426, 732 |
| 2 | 198, 409, 380, 213, 366 |
| 3 | 99, 409, 190, 213, 183 |
| 33, 409, 190, 71, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 33 x 409 x 190 x 71 x 61 = 133278555960
Therefore, the lowest common multiple of 396,409,760,426,732 is 133278555960.
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.
396 x 409 x 760 x 426 x 732 = 38384224116480
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
409 : 1, 409
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
426 : 1, 2, 3, 6, 71, 142, 213, 426
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,409,760,426,732, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
409:409
760:2x 2x 2x 5x 19
426:2x 3x 71
732:2x 2x 3x 61
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 38384224116480/(1x288)
LCM = 38384224116480/288
LCM = 133278555960
Thus, we can understand that the LCM of 396,409,760,426,732 is 133278555960.
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FAQs on LCM of 396, 409, 760, 426, 732
1. What is the LCM of 396, 409, 760, 426, 732?
Answer: LCM of 396, 409, 760, 426, 732 is 133278555960.
2. How to calculate the LCM of 396, 409, 760, 426, 732?
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 396, 409, 760, 426, 732.
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}.