LCM of 586, 549, 858, 705, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 549, 858, 705, 477 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 586, 549, 858, 705, 477. So, keep reading to learn more.
Given numbers are 586,549,858,705,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,549,858,705,477 is 572993545410.
Find LCM of 586,549,858,705,477 with Prime Factorization
| 2 | 586, 549, 858, 705, 477 |
| 3 | 293, 549, 429, 705, 477 |
| 3 | 293, 183, 143, 235, 159 |
| 293, 61, 143, 235, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 293 x 61 x 143 x 235 x 53 = 572993545410
Therefore, the lowest common multiple of 586,549,858,705,477 is 572993545410.
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.
586 x 549 x 858 x 705 x 477 = 92824954356420
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.
586 : 1, 2, 293, 586
549 : 1, 3, 9, 61, 183, 549
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
705 : 1, 3, 5, 15, 47, 141, 235, 705
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,549,858,705,477, is 1.
Now, the common factors can be found like this.
586:2x 293
549:3x 3x 61
858:2x 3x 11x 13
705:3x 5x 47
477:3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 92824954356420/(1x162)
LCM = 92824954356420/162
LCM = 572993545410
Thus, we can understand that the LCM of 586,549,858,705,477 is 572993545410.
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FAQs on LCM of 586, 549, 858, 705, 477
1. What is the LCM of 586, 549, 858, 705, 477?
Answer: LCM of 586, 549, 858, 705, 477 is 572993545410.
2. How to calculate the LCM of 586, 549, 858, 705, 477?
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 586, 549, 858, 705, 477.
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}.