LCM of 562, 112, 814, 309, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 112, 814, 309, 929 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 562, 112, 814, 309, 929. So, keep reading to learn more.
Given numbers are 562,112,814,309,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,112,814,309,929 is 3676994203344.
Find LCM of 562,112,814,309,929 with Prime Factorization
| 2 | 562, 112, 814, 309, 929 |
| 281, 56, 407, 309, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 281 x 56 x 407 x 309 x 929 = 3676994203344
Therefore, the lowest common multiple of 562,112,814,309,929 is 3676994203344.
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.
562 x 112 x 814 x 309 x 929 = 14707976813376
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.
562 : 1, 2, 281, 562
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
814 : 1, 2, 11, 22, 37, 74, 407, 814
309 : 1, 3, 103, 309
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,112,814,309,929, is 1.
Now, the common factors can be found like this.
562:2x 281
112:2x 2x 2x 2x 7
814:2x 11x 37
309:3x 103
929:929
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 14707976813376/(1x4)
LCM = 14707976813376/4
LCM = 3676994203344
Thus, we can understand that the LCM of 562,112,814,309,929 is 3676994203344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 562, 112, 814, 309, 929
1. What is the LCM of 562, 112, 814, 309, 929?
Answer: LCM of 562, 112, 814, 309, 929 is 3676994203344.
2. How to calculate the LCM of 562, 112, 814, 309, 929?
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 562, 112, 814, 309, 929.
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}.