LCM of 808, 774, 304, 764, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 774, 304, 764, 391 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, 774, 304, 764, 391. So, keep reading to learn more.
Given numbers are 808,774,304,764,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,774,304,764,391 is 887393099088.
Find LCM of 808,774,304,764,391 with Prime Factorization
| 2 | 808, 774, 304, 764, 391 |
| 2 | 404, 387, 152, 382, 391 |
| 2 | 202, 387, 76, 191, 391 |
| 101, 387, 38, 191, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 387 x 38 x 191 x 391 = 887393099088
Therefore, the lowest common multiple of 808,774,304,764,391 is 887393099088.
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 774 x 304 x 764 x 391 = 56793158341632
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
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
764 : 1, 2, 4, 191, 382, 764
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,774,304,764,391, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
774:2x 3x 3x 43
304:2x 2x 2x 2x 19
764:2x 2x 191
391:17x 23
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 2 = 64
Therefore, the value for common factors is 64.
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 = 56793158341632/(1x64)
LCM = 56793158341632/64
LCM = 887393099088
Thus, we can understand that the LCM of 808,774,304,764,391 is 887393099088.
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FAQs on LCM of 808, 774, 304, 764, 391
1. What is the LCM of 808, 774, 304, 764, 391?
Answer: LCM of 808, 774, 304, 764, 391 is 887393099088.
2. How to calculate the LCM of 808, 774, 304, 764, 391?
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, 774, 304, 764, 391.
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}.