LCM of 110, 784, 542, 336, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 784, 542, 336, 577 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 110, 784, 542, 336, 577. So, keep reading to learn more.
Given numbers are 110,784,542,336,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,784,542,336,577 is 20227635120.
Find LCM of 110,784,542,336,577 with Prime Factorization
| 2 | 110, 784, 542, 336, 577 |
| 2 | 55, 392, 271, 168, 577 |
| 2 | 55, 196, 271, 84, 577 |
| 2 | 55, 98, 271, 42, 577 |
| 7 | 55, 49, 271, 21, 577 |
| 55, 7, 271, 3, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 55 x 7 x 271 x 3 x 577 = 20227635120
Therefore, the lowest common multiple of 110,784,542,336,577 is 20227635120.
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.
110 x 784 x 542 x 336 x 577 = 9061980533760
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
542 : 1, 2, 271, 542
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,784,542,336,577, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
784:2x 2x 2x 2x 7x 7
542:2x 271
336:2x 2x 2x 2x 3x 7
577:577
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 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 9061980533760/(1x448)
LCM = 9061980533760/448
LCM = 20227635120
Thus, we can understand that the LCM of 110,784,542,336,577 is 20227635120.
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FAQs on LCM of 110, 784, 542, 336, 577
1. What is the LCM of 110, 784, 542, 336, 577?
Answer: LCM of 110, 784, 542, 336, 577 is 20227635120.
2. How to calculate the LCM of 110, 784, 542, 336, 577?
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 110, 784, 542, 336, 577.
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}.