LCM of 869, 776, 352, 702, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 776, 352, 702, 408 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 869, 776, 352, 702, 408. So, keep reading to learn more.
Given numbers are 869,776,352,702,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,776,352,702,408 is 16095242592.
Find LCM of 869,776,352,702,408 with Prime Factorization
| 2 | 869, 776, 352, 702, 408 |
| 2 | 869, 388, 176, 351, 204 |
| 2 | 869, 194, 88, 351, 102 |
| 3 | 869, 97, 44, 351, 51 |
| 11 | 869, 97, 44, 117, 17 |
| 79, 97, 4, 117, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 79 x 97 x 4 x 117 x 17 = 16095242592
Therefore, the lowest common multiple of 869,776,352,702,408 is 16095242592.
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.
869 x 776 x 352 x 702 x 408 = 67986304708608
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.
869 : 1, 11, 79, 869
776 : 1, 2, 4, 8, 97, 194, 388, 776
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,776,352,702,408, is 1.
Now, the common factors can be found like this.
869:11x 79
776:2x 2x 2x 97
352:2x 2x 2x 2x 2x 11
702:2x 3x 3x 3x 13
408:2x 2x 2x 3x 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 2x 2x 2x 2x 2x 3x 11 = 4224
Therefore, the value for common factors is 4224.
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 = 67986304708608/(1x4224)
LCM = 67986304708608/4224
LCM = 16095242592
Thus, we can understand that the LCM of 869,776,352,702,408 is 16095242592.
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FAQs on LCM of 869, 776, 352, 702, 408
1. What is the LCM of 869, 776, 352, 702, 408?
Answer: LCM of 869, 776, 352, 702, 408 is 16095242592.
2. How to calculate the LCM of 869, 776, 352, 702, 408?
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 869, 776, 352, 702, 408.
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}.