LCM of 805, 427, 374, 440, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 427, 374, 440, 517 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 805, 427, 374, 440, 517. So, keep reading to learn more.
Given numbers are 805,427,374,440,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,427,374,440,517 is 3452670760.
Find LCM of 805,427,374,440,517 with Prime Factorization
| 2 | 805, 427, 374, 440, 517 |
| 5 | 805, 427, 187, 220, 517 |
| 7 | 161, 427, 187, 44, 517 |
| 11 | 23, 61, 187, 44, 517 |
| 23, 61, 17, 4, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 23 x 61 x 17 x 4 x 47 = 3452670760
Therefore, the lowest common multiple of 805,427,374,440,517 is 3452670760.
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.
805 x 427 x 374 x 440 x 517 = 29244121337200
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
427 : 1, 7, 61, 427
374 : 1, 2, 11, 17, 22, 34, 187, 374
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,427,374,440,517, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
427:7x 61
374:2x 11x 17
440:2x 2x 2x 5x 11
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11x 11 = 8470
Therefore, the value for common factors is 8470.
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 = 29244121337200/(1x8470)
LCM = 29244121337200/8470
LCM = 3452670760
Thus, we can understand that the LCM of 805,427,374,440,517 is 3452670760.
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FAQs on LCM of 805, 427, 374, 440, 517
1. What is the LCM of 805, 427, 374, 440, 517?
Answer: LCM of 805, 427, 374, 440, 517 is 3452670760.
2. How to calculate the LCM of 805, 427, 374, 440, 517?
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 805, 427, 374, 440, 517.
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}.