LCM of 557, 456, 844, 850, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 456, 844, 850, 585 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 557, 456, 844, 850, 585. So, keep reading to learn more.
Given numbers are 557,456,844,850,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,456,844,850,585 is 888292571400.
Find LCM of 557,456,844,850,585 with Prime Factorization
| 2 | 557, 456, 844, 850, 585 |
| 2 | 557, 228, 422, 425, 585 |
| 3 | 557, 114, 211, 425, 585 |
| 5 | 557, 38, 211, 425, 195 |
| 557, 38, 211, 85, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 557 x 38 x 211 x 85 x 39 = 888292571400
Therefore, the lowest common multiple of 557,456,844,850,585 is 888292571400.
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.
557 x 456 x 844 x 850 x 585 = 106595108568000
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.
557 : 1, 557
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
844 : 1, 2, 4, 211, 422, 844
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,456,844,850,585, is 1.
Now, the common factors can be found like this.
557:557
456:2x 2x 2x 3x 19
844:2x 2x 211
850:2x 5x 5x 17
585:3x 3x 5x 13
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 106595108568000/(1x120)
LCM = 106595108568000/120
LCM = 888292571400
Thus, we can understand that the LCM of 557,456,844,850,585 is 888292571400.
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FAQs on LCM of 557, 456, 844, 850, 585
1. What is the LCM of 557, 456, 844, 850, 585?
Answer: LCM of 557, 456, 844, 850, 585 is 888292571400.
2. How to calculate the LCM of 557, 456, 844, 850, 585?
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 557, 456, 844, 850, 585.
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}.