LCM of 866, 595, 357, 630, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 595, 357, 630, 255 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 866, 595, 357, 630, 255. So, keep reading to learn more.
Given numbers are 866,595,357,630,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,595,357,630,255 is 4637430.
Find LCM of 866,595,357,630,255 with Prime Factorization
| 2 | 866, 595, 357, 630, 255 |
| 3 | 433, 595, 357, 315, 255 |
| 5 | 433, 595, 119, 105, 85 |
| 7 | 433, 119, 119, 21, 17 |
| 17 | 433, 17, 17, 3, 17 |
| 433, 1, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 433 x 1 x 1 x 3 x 1 = 4637430
Therefore, the lowest common multiple of 866,595,357,630,255 is 4637430.
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.
866 x 595 x 357 x 630 x 255 = 29551790803500
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.
866 : 1, 2, 433, 866
595 : 1, 5, 7, 17, 35, 85, 119, 595
357 : 1, 3, 7, 17, 21, 51, 119, 357
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,595,357,630,255, is 1.
Now, the common factors can be found like this.
866:2x 433
595:5x 7x 17
357:3x 7x 17
630:2x 3x 3x 5x 7
255:3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 7x 7x 17x 17 = 6372450
Therefore, the value for common factors is 6372450.
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 = 29551790803500/(1x6372450)
LCM = 29551790803500/6372450
LCM = 4637430
Thus, we can understand that the LCM of 866,595,357,630,255 is 4637430.
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FAQs on LCM of 866, 595, 357, 630, 255
1. What is the LCM of 866, 595, 357, 630, 255?
Answer: LCM of 866, 595, 357, 630, 255 is 4637430.
2. How to calculate the LCM of 866, 595, 357, 630, 255?
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 866, 595, 357, 630, 255.
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}.