LCM of 579, 291, 286, 495, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 291, 286, 495, 473 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 579, 291, 286, 495, 473. So, keep reading to learn more.
Given numbers are 579,291,286,495,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,291,286,495,473 is 10360388610.
Find LCM of 579,291,286,495,473 with Prime Factorization
| 3 | 579, 291, 286, 495, 473 |
| 11 | 193, 97, 286, 165, 473 |
| 193, 97, 26, 15, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 193 x 97 x 26 x 15 x 43 = 10360388610
Therefore, the lowest common multiple of 579,291,286,495,473 is 10360388610.
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.
579 x 291 x 286 x 495 x 473 = 11282463196290
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.
579 : 1, 3, 193, 579
291 : 1, 3, 97, 291
286 : 1, 2, 11, 13, 22, 26, 143, 286
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,291,286,495,473, is 1.
Now, the common factors can be found like this.
579:3x 193
291:3x 97
286:2x 11x 13
495:3x 3x 5x 11
473:11x 43
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 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 11282463196290/(1x1089)
LCM = 11282463196290/1089
LCM = 10360388610
Thus, we can understand that the LCM of 579,291,286,495,473 is 10360388610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 291, 286, 495, 473
1. What is the LCM of 579, 291, 286, 495, 473?
Answer: LCM of 579, 291, 286, 495, 473 is 10360388610.
2. How to calculate the LCM of 579, 291, 286, 495, 473?
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 579, 291, 286, 495, 473.
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}.