LCM of 409, 143, 442, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 143, 442, 616 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 409, 143, 442, 616. So, keep reading to learn more.
Given numbers are 409,143,442,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,143,442,616 is 55679624.
Find LCM of 409,143,442,616 with Prime Factorization
| 2 | 409, 143, 442, 616 |
| 11 | 409, 143, 221, 308 |
| 13 | 409, 13, 221, 28 |
| 409, 1, 17, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 409 x 1 x 17 x 28 = 55679624
Therefore, the lowest common multiple of 409,143,442,616 is 55679624.
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.
409 x 143 x 442 x 616 = 15924372464
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.
409 : 1, 409
143 : 1, 11, 13, 143
442 : 1, 2, 13, 17, 26, 34, 221, 442
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,143,442,616, is 1.
Now, the common factors can be found like this.
409:409
143:11x 13
442:2x 13x 17
616:2x 2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 15924372464/(1x286)
LCM = 15924372464/286
LCM = 55679624
Thus, we can understand that the LCM of 409,143,442,616 is 55679624.
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FAQs on LCM of 409, 143, 442, 616
1. What is the LCM of 409, 143, 442, 616?
Answer: LCM of 409, 143, 442, 616 is 55679624.
2. How to calculate the LCM of 409, 143, 442, 616?
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 409, 143, 442, 616.
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}.