LCM of 818, 780, 314, 457, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 780, 314, 457, 849 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 818, 780, 314, 457, 849. So, keep reading to learn more.
Given numbers are 818,780,314,457,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,780,314,457,849 is 6477690572340.
Find LCM of 818,780,314,457,849 with Prime Factorization
| 2 | 818, 780, 314, 457, 849 |
| 3 | 409, 390, 157, 457, 849 |
| 409, 130, 157, 457, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 409 x 130 x 157 x 457 x 283 = 6477690572340
Therefore, the lowest common multiple of 818,780,314,457,849 is 6477690572340.
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.
818 x 780 x 314 x 457 x 849 = 77732286868080
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.
818 : 1, 2, 409, 818
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
314 : 1, 2, 157, 314
457 : 1, 457
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,780,314,457,849, is 1.
Now, the common factors can be found like this.
818:2x 409
780:2x 2x 3x 5x 13
314:2x 157
457:457
849:3x 283
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 = 77732286868080/(1x12)
LCM = 77732286868080/12
LCM = 6477690572340
Thus, we can understand that the LCM of 818,780,314,457,849 is 6477690572340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 818, 780, 314, 457, 849
1. What is the LCM of 818, 780, 314, 457, 849?
Answer: LCM of 818, 780, 314, 457, 849 is 6477690572340.
2. How to calculate the LCM of 818, 780, 314, 457, 849?
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 818, 780, 314, 457, 849.
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}.