LCM of 362, 510, 891, 538, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 510, 891, 538, 833 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 362, 510, 891, 538, 833. So, keep reading to learn more.
Given numbers are 362,510,891,538,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,510,891,538,833 is 361371218670.
Find LCM of 362,510,891,538,833 with Prime Factorization
| 2 | 362, 510, 891, 538, 833 |
| 3 | 181, 255, 891, 269, 833 |
| 17 | 181, 85, 297, 269, 833 |
| 181, 5, 297, 269, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 181 x 5 x 297 x 269 x 49 = 361371218670
Therefore, the lowest common multiple of 362,510,891,538,833 is 361371218670.
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.
362 x 510 x 891 x 538 x 833 = 73719728608680
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.
362 : 1, 2, 181, 362
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
538 : 1, 2, 269, 538
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,510,891,538,833, is 1.
Now, the common factors can be found like this.
362:2x 181
510:2x 3x 5x 17
891:3x 3x 3x 3x 11
538:2x 269
833:7x 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.
2x 2x 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 73719728608680/(1x204)
LCM = 73719728608680/204
LCM = 361371218670
Thus, we can understand that the LCM of 362,510,891,538,833 is 361371218670.
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FAQs on LCM of 362, 510, 891, 538, 833
1. What is the LCM of 362, 510, 891, 538, 833?
Answer: LCM of 362, 510, 891, 538, 833 is 361371218670.
2. How to calculate the LCM of 362, 510, 891, 538, 833?
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 362, 510, 891, 538, 833.
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}.