LCM of 441, 913, 988, 693, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 913, 988, 693, 515 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 441, 913, 988, 693, 515. So, keep reading to learn more.
Given numbers are 441,913,988,693,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,913,988,693,515 is 204867723060.
Find LCM of 441,913,988,693,515 with Prime Factorization
| 3 | 441, 913, 988, 693, 515 |
| 3 | 147, 913, 988, 231, 515 |
| 7 | 49, 913, 988, 77, 515 |
| 11 | 7, 913, 988, 11, 515 |
| 7, 83, 988, 1, 515 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 11 x 7 x 83 x 988 x 1 x 515 = 204867723060
Therefore, the lowest common multiple of 441,913,988,693,515 is 204867723060.
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.
441 x 913 x 988 x 693 x 515 = 141973332080580
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
913 : 1, 11, 83, 913
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,913,988,693,515, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
913:11x 83
988:2x 2x 13x 19
693:3x 3x 7x 11
515:5x 103
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 7x 11 = 693
Therefore, the value for common factors is 693.
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 = 141973332080580/(1x693)
LCM = 141973332080580/693
LCM = 204867723060
Thus, we can understand that the LCM of 441,913,988,693,515 is 204867723060.
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FAQs on LCM of 441, 913, 988, 693, 515
1. What is the LCM of 441, 913, 988, 693, 515?
Answer: LCM of 441, 913, 988, 693, 515 is 204867723060.
2. How to calculate the LCM of 441, 913, 988, 693, 515?
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 441, 913, 988, 693, 515.
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}.