LCM of 808, 756, 881, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 756, 881, 699 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 808, 756, 881, 699. So, keep reading to learn more.
Given numbers are 808,756,881,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,756,881,699 is 31347650376.
Find LCM of 808,756,881,699 with Prime Factorization
| 2 | 808, 756, 881, 699 |
| 2 | 404, 378, 881, 699 |
| 3 | 202, 189, 881, 699 |
| 202, 63, 881, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 202 x 63 x 881 x 233 = 31347650376
Therefore, the lowest common multiple of 808,756,881,699 is 31347650376.
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.
808 x 756 x 881 x 699 = 376171804512
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
881 : 1, 881
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,756,881,699, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
756:2x 2x 3x 3x 3x 7
881:881
699:3x 233
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 3 = 12
Therefore, the value for common factors is 12.
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 = 376171804512/(1x12)
LCM = 376171804512/12
LCM = 31347650376
Thus, we can understand that the LCM of 808,756,881,699 is 31347650376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 756, 881, 699
1. What is the LCM of 808, 756, 881, 699?
Answer: LCM of 808, 756, 881, 699 is 31347650376.
2. How to calculate the LCM of 808, 756, 881, 699?
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 808, 756, 881, 699.
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}.