LCM of 875, 259, 622, 671, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 875, 259, 622, 671, 420 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 875, 259, 622, 671, 420. So, keep reading to learn more.
Given numbers are 875,259,622,671,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,259,622,671,420 is 81072568500.
Find LCM of 875,259,622,671,420 with Prime Factorization
| 2 | 875, 259, 622, 671, 420 |
| 5 | 875, 259, 311, 671, 210 |
| 7 | 175, 259, 311, 671, 42 |
| 25, 37, 311, 671, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 25 x 37 x 311 x 671 x 6 = 81072568500
Therefore, the lowest common multiple of 875,259,622,671,420 is 81072568500.
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.
875 x 259 x 622 x 671 x 420 = 39725558565000
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
259 : 1, 7, 37, 259
622 : 1, 2, 311, 622
671 : 1, 11, 61, 671
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,259,622,671,420, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
259:7x 37
622:2x 311
671:11x 61
420:2x 2x 3x 5x 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 5x 7x 7 = 490
Therefore, the value for common factors is 490.
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 = 39725558565000/(1x490)
LCM = 39725558565000/490
LCM = 81072568500
Thus, we can understand that the LCM of 875,259,622,671,420 is 81072568500.
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FAQs on LCM of 875, 259, 622, 671, 420
1. What is the LCM of 875, 259, 622, 671, 420?
Answer: LCM of 875, 259, 622, 671, 420 is 81072568500.
2. How to calculate the LCM of 875, 259, 622, 671, 420?
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 875, 259, 622, 671, 420.
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}.