LCM of 583, 416, 546, 604, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 416, 546, 604, 535 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 583, 416, 546, 604, 535. So, keep reading to learn more.
Given numbers are 583,416,546,604,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,416,546,604,535 is 411445114080.
Find LCM of 583,416,546,604,535 with Prime Factorization
| 2 | 583, 416, 546, 604, 535 |
| 2 | 583, 208, 273, 302, 535 |
| 13 | 583, 104, 273, 151, 535 |
| 583, 8, 21, 151, 535 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 583 x 8 x 21 x 151 x 535 = 411445114080
Therefore, the lowest common multiple of 583,416,546,604,535 is 411445114080.
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.
583 x 416 x 546 x 604 x 535 = 42790291864320
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.
583 : 1, 11, 53, 583
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
604 : 1, 2, 4, 151, 302, 604
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,416,546,604,535, is 1.
Now, the common factors can be found like this.
583:11x 53
416:2x 2x 2x 2x 2x 13
546:2x 3x 7x 13
604:2x 2x 151
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 42790291864320/(1x104)
LCM = 42790291864320/104
LCM = 411445114080
Thus, we can understand that the LCM of 583,416,546,604,535 is 411445114080.
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FAQs on LCM of 583, 416, 546, 604, 535
1. What is the LCM of 583, 416, 546, 604, 535?
Answer: LCM of 583, 416, 546, 604, 535 is 411445114080.
2. How to calculate the LCM of 583, 416, 546, 604, 535?
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 583, 416, 546, 604, 535.
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}.