LCM of 786, 578, 808, 771, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 578, 808, 771, 374 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 786, 578, 808, 771, 374. So, keep reading to learn more.
Given numbers are 786,578,808,771,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,578,808,771,374 is 259434400632.
Find LCM of 786,578,808,771,374 with Prime Factorization
| 2 | 786, 578, 808, 771, 374 |
| 3 | 393, 289, 404, 771, 187 |
| 17 | 131, 289, 404, 257, 187 |
| 131, 17, 404, 257, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 131 x 17 x 404 x 257 x 11 = 259434400632
Therefore, the lowest common multiple of 786,578,808,771,374 is 259434400632.
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.
786 x 578 x 808 x 771 x 374 = 105849235457856
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
578 : 1, 2, 17, 34, 289, 578
808 : 1, 2, 4, 8, 101, 202, 404, 808
771 : 1, 3, 257, 771
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,578,808,771,374, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
578:2x 17x 17
808:2x 2x 2x 101
771:3x 257
374:2x 11x 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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 105849235457856/(1x408)
LCM = 105849235457856/408
LCM = 259434400632
Thus, we can understand that the LCM of 786,578,808,771,374 is 259434400632.
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FAQs on LCM of 786, 578, 808, 771, 374
1. What is the LCM of 786, 578, 808, 771, 374?
Answer: LCM of 786, 578, 808, 771, 374 is 259434400632.
2. How to calculate the LCM of 786, 578, 808, 771, 374?
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 786, 578, 808, 771, 374.
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}.