LCM of 549, 114, 676, 560, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 114, 676, 560, 565 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 549, 114, 676, 560, 565. So, keep reading to learn more.
Given numbers are 549,114,676,560,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,114,676,560,565 is 111552451920.
Find LCM of 549,114,676,560,565 with Prime Factorization
| 2 | 549, 114, 676, 560, 565 |
| 2 | 549, 57, 338, 280, 565 |
| 3 | 549, 57, 169, 140, 565 |
| 5 | 183, 19, 169, 140, 565 |
| 183, 19, 169, 28, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 183 x 19 x 169 x 28 x 113 = 111552451920
Therefore, the lowest common multiple of 549,114,676,560,565 is 111552451920.
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.
549 x 114 x 676 x 560 x 565 = 13386294230400
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.
549 : 1, 3, 9, 61, 183, 549
114 : 1, 2, 3, 6, 19, 38, 57, 114
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,114,676,560,565, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
114:2x 3x 19
676:2x 2x 13x 13
560:2x 2x 2x 2x 5x 7
565:5x 113
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 5 = 120
Therefore, the value for common factors is 120.
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 = 13386294230400/(1x120)
LCM = 13386294230400/120
LCM = 111552451920
Thus, we can understand that the LCM of 549,114,676,560,565 is 111552451920.
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FAQs on LCM of 549, 114, 676, 560, 565
1. What is the LCM of 549, 114, 676, 560, 565?
Answer: LCM of 549, 114, 676, 560, 565 is 111552451920.
2. How to calculate the LCM of 549, 114, 676, 560, 565?
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 549, 114, 676, 560, 565.
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}.