LCM of 935, 993, 663, 391, 457
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 993, 663, 391, 457 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 935, 993, 663, 391, 457. So, keep reading to learn more.
Given numbers are 935,993,663,391,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,993,663,391,457 is 126866876565.
Find LCM of 935,993,663,391,457 with Prime Factorization
| 3 | 935, 993, 663, 391, 457 |
| 17 | 935, 331, 221, 391, 457 |
| 55, 331, 13, 23, 457 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 55 x 331 x 13 x 23 x 457 = 126866876565
Therefore, the lowest common multiple of 935,993,663,391,457 is 126866876565.
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.
935 x 993 x 663 x 391 x 457 = 109993581981855
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
993 : 1, 3, 331, 993
663 : 1, 3, 13, 17, 39, 51, 221, 663
391 : 1, 17, 23, 391
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,993,663,391,457, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
993:3x 331
663:3x 13x 17
391:17x 23
457:457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 17 = 867
Therefore, the value for common factors is 867.
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 = 109993581981855/(1x867)
LCM = 109993581981855/867
LCM = 126866876565
Thus, we can understand that the LCM of 935,993,663,391,457 is 126866876565.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 993, 663, 391, 457
1. What is the LCM of 935, 993, 663, 391, 457?
Answer: LCM of 935, 993, 663, 391, 457 is 126866876565.
2. How to calculate the LCM of 935, 993, 663, 391, 457?
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 935, 993, 663, 391, 457.
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}.