LCM of 513, 986, 309, 973, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 986, 309, 973, 567 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 513, 986, 309, 973, 567. So, keep reading to learn more.
Given numbers are 513,986,309,973,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,986,309,973,567 is 152077722426.
Find LCM of 513,986,309,973,567 with Prime Factorization
| 3 | 513, 986, 309, 973, 567 |
| 3 | 171, 986, 103, 973, 189 |
| 3 | 57, 986, 103, 973, 63 |
| 7 | 19, 986, 103, 973, 21 |
| 19, 986, 103, 139, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 19 x 986 x 103 x 139 x 3 = 152077722426
Therefore, the lowest common multiple of 513,986,309,973,567 is 152077722426.
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.
513 x 986 x 309 x 973 x 567 = 86228068615542
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
986 : 1, 2, 17, 29, 34, 58, 493, 986
309 : 1, 3, 103, 309
973 : 1, 7, 139, 973
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,986,309,973,567, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
986:2x 17x 29
309:3x 103
973:7x 139
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7 = 567
Therefore, the value for common factors is 567.
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 = 86228068615542/(1x567)
LCM = 86228068615542/567
LCM = 152077722426
Thus, we can understand that the LCM of 513,986,309,973,567 is 152077722426.
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FAQs on LCM of 513, 986, 309, 973, 567
1. What is the LCM of 513, 986, 309, 973, 567?
Answer: LCM of 513, 986, 309, 973, 567 is 152077722426.
2. How to calculate the LCM of 513, 986, 309, 973, 567?
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 513, 986, 309, 973, 567.
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}.