LCM of 586, 436, 624, 118, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 436, 624, 118, 321 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, 436, 624, 118, 321. So, keep reading to learn more.
Given numbers are 586,436,624,118,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,436,624,118,321 is 125809807344.
Find LCM of 586,436,624,118,321 with Prime Factorization
| 2 | 586, 436, 624, 118, 321 |
| 2 | 293, 218, 312, 59, 321 |
| 3 | 293, 109, 156, 59, 321 |
| 293, 109, 52, 59, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 293 x 109 x 52 x 59 x 107 = 125809807344
Therefore, the lowest common multiple of 586,436,624,118,321 is 125809807344.
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 436 x 624 x 118 x 321 = 6038870752512
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
436 : 1, 2, 4, 109, 218, 436
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
118 : 1, 2, 59, 118
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,436,624,118,321, is 1.
Now, the common factors can be found like this.
586:2x 293
436:2x 2x 109
624:2x 2x 2x 2x 3x 13
118:2x 59
321:3x 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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 6038870752512/(1x48)
LCM = 6038870752512/48
LCM = 125809807344
Thus, we can understand that the LCM of 586,436,624,118,321 is 125809807344.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 586, 436, 624, 118, 321
1. What is the LCM of 586, 436, 624, 118, 321?
Answer: LCM of 586, 436, 624, 118, 321 is 125809807344.
2. How to calculate the LCM of 586, 436, 624, 118, 321?
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, 436, 624, 118, 321.
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}.