LCM of 509, 566, 562, 679, 291
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 566, 562, 679, 291 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 509, 566, 562, 679, 291. So, keep reading to learn more.
Given numbers are 509,566,562,679,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,566,562,679,291 is 164904141318.
Find LCM of 509,566,562,679,291 with Prime Factorization
| 2 | 509, 566, 562, 679, 291 |
| 97 | 509, 283, 281, 679, 291 |
| 509, 283, 281, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 97 x 509 x 283 x 281 x 7 x 3 = 164904141318
Therefore, the lowest common multiple of 509,566,562,679,291 is 164904141318.
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.
509 x 566 x 562 x 679 x 291 = 31991403415692
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.
509 : 1, 509
566 : 1, 2, 283, 566
562 : 1, 2, 281, 562
679 : 1, 7, 97, 679
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,566,562,679,291, is 1.
Now, the common factors can be found like this.
509:509
566:2x 283
562:2x 281
679:7x 97
291:3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 97 = 194
Therefore, the value for common factors is 194.
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 = 31991403415692/(1x194)
LCM = 31991403415692/194
LCM = 164904141318
Thus, we can understand that the LCM of 509,566,562,679,291 is 164904141318.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 509, 566, 562, 679, 291
1. What is the LCM of 509, 566, 562, 679, 291?
Answer: LCM of 509, 566, 562, 679, 291 is 164904141318.
2. How to calculate the LCM of 509, 566, 562, 679, 291?
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 509, 566, 562, 679, 291.
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}.