LCM of 802, 363, 231, 984, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 363, 231, 984, 513 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 802, 363, 231, 984, 513. So, keep reading to learn more.
Given numbers are 802,363,231,984,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,363,231,984,513 is 57150362808.
Find LCM of 802,363,231,984,513 with Prime Factorization
| 2 | 802, 363, 231, 984, 513 |
| 3 | 401, 363, 231, 492, 513 |
| 11 | 401, 121, 77, 164, 171 |
| 401, 11, 7, 164, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 401 x 11 x 7 x 164 x 171 = 57150362808
Therefore, the lowest common multiple of 802,363,231,984,513 is 57150362808.
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.
802 x 363 x 231 x 984 x 513 = 33947315507952
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.
802 : 1, 2, 401, 802
363 : 1, 3, 11, 33, 121, 363
231 : 1, 3, 7, 11, 21, 33, 77, 231
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,363,231,984,513, is 1.
Now, the common factors can be found like this.
802:2x 401
363:3x 11x 11
231:3x 7x 11
984:2x 2x 2x 3x 41
513:3x 3x 3x 19
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 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 33947315507952/(1x594)
LCM = 33947315507952/594
LCM = 57150362808
Thus, we can understand that the LCM of 802,363,231,984,513 is 57150362808.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 802, 363, 231, 984, 513
1. What is the LCM of 802, 363, 231, 984, 513?
Answer: LCM of 802, 363, 231, 984, 513 is 57150362808.
2. How to calculate the LCM of 802, 363, 231, 984, 513?
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 802, 363, 231, 984, 513.
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}.