LCM of 587, 870, 611, 338, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 870, 611, 338, 336 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 587, 870, 611, 338, 336. So, keep reading to learn more.
Given numbers are 587,870,611,338,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,870,611,338,336 is 227158997520.
Find LCM of 587,870,611,338,336 with Prime Factorization
| 2 | 587, 870, 611, 338, 336 |
| 3 | 587, 435, 611, 169, 168 |
| 13 | 587, 145, 611, 169, 56 |
| 587, 145, 47, 13, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 587 x 145 x 47 x 13 x 56 = 227158997520
Therefore, the lowest common multiple of 587,870,611,338,336 is 227158997520.
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.
587 x 870 x 611 x 338 x 336 = 35436803613120
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.
587 : 1, 587
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
611 : 1, 13, 47, 611
338 : 1, 2, 13, 26, 169, 338
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,870,611,338,336, is 1.
Now, the common factors can be found like this.
587:587
870:2x 3x 5x 29
611:13x 47
338:2x 13x 13
336:2x 2x 2x 2x 3x 7
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 35436803613120/(1x156)
LCM = 35436803613120/156
LCM = 227158997520
Thus, we can understand that the LCM of 587,870,611,338,336 is 227158997520.
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FAQs on LCM of 587, 870, 611, 338, 336
1. What is the LCM of 587, 870, 611, 338, 336?
Answer: LCM of 587, 870, 611, 338, 336 is 227158997520.
2. How to calculate the LCM of 587, 870, 611, 338, 336?
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 587, 870, 611, 338, 336.
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}.