LCM of 814, 130, 678, 156, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 130, 678, 156, 681 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, 130, 678, 156, 681. So, keep reading to learn more.
Given numbers are 814,130,678,156,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,130,678,156,681 is 8143166460.
Find LCM of 814,130,678,156,681 with Prime Factorization
| 2 | 814, 130, 678, 156, 681 |
| 3 | 407, 65, 339, 78, 681 |
| 13 | 407, 65, 113, 26, 227 |
| 407, 5, 113, 2, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 407 x 5 x 113 x 2 x 227 = 8143166460
Therefore, the lowest common multiple of 814,130,678,156,681 is 8143166460.
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 130 x 678 x 156 x 681 = 7622003806560
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
130 : 1, 2, 5, 10, 13, 26, 65, 130
678 : 1, 2, 3, 6, 113, 226, 339, 678
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,130,678,156,681, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
130:2x 5x 13
678:2x 3x 113
156:2x 2x 3x 13
681:3x 227
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 7622003806560/(1x936)
LCM = 7622003806560/936
LCM = 8143166460
Thus, we can understand that the LCM of 814,130,678,156,681 is 8143166460.
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FAQs on LCM of 814, 130, 678, 156, 681
1. What is the LCM of 814, 130, 678, 156, 681?
Answer: LCM of 814, 130, 678, 156, 681 is 8143166460.
2. How to calculate the LCM of 814, 130, 678, 156, 681?
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, 130, 678, 156, 681.
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}.