LCM of 780, 560, 566, 549, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 560, 566, 549, 549 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 780, 560, 566, 549, 549. So, keep reading to learn more.
Given numbers are 780,560,566,549,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,560,566,549,549 is 1131071760.
Find LCM of 780,560,566,549,549 with Prime Factorization
| 2 | 780, 560, 566, 549, 549 |
| 2 | 390, 280, 283, 549, 549 |
| 3 | 195, 140, 283, 549, 549 |
| 3 | 65, 140, 283, 183, 183 |
| 5 | 65, 140, 283, 61, 61 |
| 61 | 13, 28, 283, 61, 61 |
| 13, 28, 283, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 61 x 13 x 28 x 283 x 1 x 1 = 1131071760
Therefore, the lowest common multiple of 780,560,566,549,549 is 1131071760.
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.
780 x 560 x 566 x 549 x 549 = 74515007548800
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.
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
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
566 : 1, 2, 283, 566
549 : 1, 3, 9, 61, 183, 549
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,560,566,549,549, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
560:2x 2x 2x 2x 5x 7
566:2x 283
549:3x 3x 61
549:3x 3x 61
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 3x 3x 5x 61 = 65880
Therefore, the value for common factors is 65880.
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 = 74515007548800/(1x65880)
LCM = 74515007548800/65880
LCM = 1131071760
Thus, we can understand that the LCM of 780,560,566,549,549 is 1131071760.
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FAQs on LCM of 780, 560, 566, 549, 549
1. What is the LCM of 780, 560, 566, 549, 549?
Answer: LCM of 780, 560, 566, 549, 549 is 1131071760.
2. How to calculate the LCM of 780, 560, 566, 549, 549?
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 780, 560, 566, 549, 549.
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}.