LCM of 364, 860, 465, 827, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 860, 465, 827, 440 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 364, 860, 465, 827, 440. So, keep reading to learn more.
Given numbers are 364,860,465,827,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,860,465,827,440 is 132419206920.
Find LCM of 364,860,465,827,440 with Prime Factorization
| 2 | 364, 860, 465, 827, 440 |
| 2 | 182, 430, 465, 827, 220 |
| 5 | 91, 215, 465, 827, 110 |
| 91, 43, 93, 827, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 91 x 43 x 93 x 827 x 22 = 132419206920
Therefore, the lowest common multiple of 364,860,465,827,440 is 132419206920.
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.
364 x 860 x 465 x 827 x 440 = 52967682768000
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
465 : 1, 3, 5, 15, 31, 93, 155, 465
827 : 1, 827
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,860,465,827,440, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
860:2x 2x 5x 43
465:3x 5x 31
827:827
440:2x 2x 2x 5x 11
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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 52967682768000/(1x400)
LCM = 52967682768000/400
LCM = 132419206920
Thus, we can understand that the LCM of 364,860,465,827,440 is 132419206920.
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FAQs on LCM of 364, 860, 465, 827, 440
1. What is the LCM of 364, 860, 465, 827, 440?
Answer: LCM of 364, 860, 465, 827, 440 is 132419206920.
2. How to calculate the LCM of 364, 860, 465, 827, 440?
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 364, 860, 465, 827, 440.
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}.