LCM of 345, 585, 771, 294, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 585, 771, 294, 648 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 345, 585, 771, 294, 648. So, keep reading to learn more.
Given numbers are 345,585,771,294,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,585,771,294,648 is 12199594680.
Find LCM of 345,585,771,294,648 with Prime Factorization
| 2 | 345, 585, 771, 294, 648 |
| 3 | 345, 585, 771, 147, 324 |
| 3 | 115, 195, 257, 49, 108 |
| 5 | 115, 65, 257, 49, 36 |
| 23, 13, 257, 49, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 13 x 257 x 49 x 36 = 12199594680
Therefore, the lowest common multiple of 345,585,771,294,648 is 12199594680.
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.
345 x 585 x 771 x 294 x 648 = 29645015072400
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
771 : 1, 3, 257, 771
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,585,771,294,648, is 3.
Now, the common factors can be found like this.
345:3x 5x 23
585:3x 3x 5x 13
771:3x 257
294:2x 3x 7x 7
648:2x 2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 29645015072400/(3x810)
LCM = 29645015072400/2430
LCM = 12199594680
Thus, we can understand that the LCM of 345,585,771,294,648 is 12199594680.
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FAQs on LCM of 345, 585, 771, 294, 648
1. What is the LCM of 345, 585, 771, 294, 648?
Answer: LCM of 345, 585, 771, 294, 648 is 12199594680.
2. How to calculate the LCM of 345, 585, 771, 294, 648?
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 345, 585, 771, 294, 648.
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}.