LCM of 717, 338, 724, 533, 587
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 338, 724, 533, 587 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 717, 338, 724, 533, 587. So, keep reading to learn more.
Given numbers are 717,338,724,533,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,338,724,533,587 is 2111379907884.
Find LCM of 717,338,724,533,587 with Prime Factorization
| 2 | 717, 338, 724, 533, 587 |
| 13 | 717, 169, 362, 533, 587 |
| 717, 13, 362, 41, 587 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 717 x 13 x 362 x 41 x 587 = 2111379907884
Therefore, the lowest common multiple of 717,338,724,533,587 is 2111379907884.
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.
717 x 338 x 724 x 533 x 587 = 54895877604984
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.
717 : 1, 3, 239, 717
338 : 1, 2, 13, 26, 169, 338
724 : 1, 2, 4, 181, 362, 724
533 : 1, 13, 41, 533
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,338,724,533,587, is 1.
Now, the common factors can be found like this.
717:3x 239
338:2x 13x 13
724:2x 2x 181
533:13x 41
587:587
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 54895877604984/(1x26)
LCM = 54895877604984/26
LCM = 2111379907884
Thus, we can understand that the LCM of 717,338,724,533,587 is 2111379907884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 338, 724, 533, 587
1. What is the LCM of 717, 338, 724, 533, 587?
Answer: LCM of 717, 338, 724, 533, 587 is 2111379907884.
2. How to calculate the LCM of 717, 338, 724, 533, 587?
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 717, 338, 724, 533, 587.
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}.