LCM of 887, 399, 510, 935, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 399, 510, 935, 357 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 887, 399, 510, 935, 357. So, keep reading to learn more.
Given numbers are 887,399,510,935,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,399,510,935,357 is 661817310.
Find LCM of 887,399,510,935,357 with Prime Factorization
| 3 | 887, 399, 510, 935, 357 |
| 5 | 887, 133, 170, 935, 119 |
| 7 | 887, 133, 34, 187, 119 |
| 17 | 887, 19, 34, 187, 17 |
| 887, 19, 2, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 17 x 887 x 19 x 2 x 11 x 1 = 661817310
Therefore, the lowest common multiple of 887,399,510,935,357 is 661817310.
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.
887 x 399 x 510 x 935 x 357 = 60248538815850
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.
887 : 1, 887
399 : 1, 3, 7, 19, 21, 57, 133, 399
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
935 : 1, 5, 11, 17, 55, 85, 187, 935
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,399,510,935,357, is 1.
Now, the common factors can be found like this.
887:887
399:3x 7x 19
510:2x 3x 5x 17
935:5x 11x 17
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 17x 17 = 91035
Therefore, the value for common factors is 91035.
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 = 60248538815850/(1x91035)
LCM = 60248538815850/91035
LCM = 661817310
Thus, we can understand that the LCM of 887,399,510,935,357 is 661817310.
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FAQs on LCM of 887, 399, 510, 935, 357
1. What is the LCM of 887, 399, 510, 935, 357?
Answer: LCM of 887, 399, 510, 935, 357 is 661817310.
2. How to calculate the LCM of 887, 399, 510, 935, 357?
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 887, 399, 510, 935, 357.
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}.