LCM of 357, 510, 786, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 510, 786, 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 357, 510, 786, 255. So, keep reading to learn more.
Given numbers are 357,510,786,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,510,786,255 is 467670.
Find LCM of 357,510,786,255 with Prime Factorization
| 2 | 357, 510, 786, 255 |
| 3 | 357, 255, 393, 255 |
| 5 | 119, 85, 131, 85 |
| 17 | 119, 17, 131, 17 |
| 7, 1, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 7 x 1 x 131 x 1 = 467670
Therefore, the lowest common multiple of 357,510,786,255 is 467670.
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.
357 x 510 x 786 x 255 = 36492290100
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
786 : 1, 2, 3, 6, 131, 262, 393, 786
255 : 1, 3, 5, 15, 17, 51, 85, 255
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,510,786,255, is 3.
Now, the common factors can be found like this.
357:3x 7x 17
510:2x 3x 5x 17
786:2x 3x 131
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 17x 17 = 26010
Therefore, the value for common factors is 26010.
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 = 36492290100/(3x26010)
LCM = 36492290100/78030
LCM = 467670
Thus, we can understand that the LCM of 357,510,786,255 is 467670.
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FAQs on LCM of 357, 510, 786, 255
1. What is the LCM of 357, 510, 786, 255?
Answer: LCM of 357, 510, 786, 255 is 467670.
2. How to calculate the LCM of 357, 510, 786, 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 357, 510, 786, 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}.