LCM of 814, 563, 578, 442, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 563, 578, 442, 370 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 814, 563, 578, 442, 370. So, keep reading to learn more.
Given numbers are 814,563,578,442,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,563,578,442,370 is 8608827370.
Find LCM of 814,563,578,442,370 with Prime Factorization
| 2 | 814, 563, 578, 442, 370 |
| 17 | 407, 563, 289, 221, 185 |
| 37 | 407, 563, 17, 13, 185 |
| 11, 563, 17, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 37 x 11 x 563 x 17 x 13 x 5 = 8608827370
Therefore, the lowest common multiple of 814,563,578,442,370 is 8608827370.
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.
814 x 563 x 578 x 442 x 370 = 43319619325840
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
563 : 1, 563
578 : 1, 2, 17, 34, 289, 578
442 : 1, 2, 13, 17, 26, 34, 221, 442
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,563,578,442,370, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
563:563
578:2x 17x 17
442:2x 13x 17
370:2x 5x 37
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 17x 37 = 5032
Therefore, the value for common factors is 5032.
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 = 43319619325840/(1x5032)
LCM = 43319619325840/5032
LCM = 8608827370
Thus, we can understand that the LCM of 814,563,578,442,370 is 8608827370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 563, 578, 442, 370
1. What is the LCM of 814, 563, 578, 442, 370?
Answer: LCM of 814, 563, 578, 442, 370 is 8608827370.
2. How to calculate the LCM of 814, 563, 578, 442, 370?
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 814, 563, 578, 442, 370.
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}.