LCM of 546, 586, 606, 814, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 586, 606, 814, 550 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 546, 586, 606, 814, 550. So, keep reading to learn more.
Given numbers are 546,586,606,814,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,586,606,814,550 is 164405391150.
Find LCM of 546,586,606,814,550 with Prime Factorization
| 2 | 546, 586, 606, 814, 550 |
| 3 | 273, 293, 303, 407, 275 |
| 11 | 91, 293, 101, 407, 275 |
| 91, 293, 101, 37, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 91 x 293 x 101 x 37 x 25 = 164405391150
Therefore, the lowest common multiple of 546,586,606,814,550 is 164405391150.
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.
546 x 586 x 606 x 814 x 550 = 86806046527200
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
586 : 1, 2, 293, 586
606 : 1, 2, 3, 6, 101, 202, 303, 606
814 : 1, 2, 11, 22, 37, 74, 407, 814
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,586,606,814,550, is 2.
Now, the common factors can be found like this.
546:2x 3x 7x 13
586:2x 293
606:2x 3x 101
814:2x 11x 37
550:2x 5x 5x 11
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 11 = 264
Therefore, the value for common factors is 264.
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 = 86806046527200/(2x264)
LCM = 86806046527200/528
LCM = 164405391150
Thus, we can understand that the LCM of 546,586,606,814,550 is 164405391150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 586, 606, 814, 550
1. What is the LCM of 546, 586, 606, 814, 550?
Answer: LCM of 546, 586, 606, 814, 550 is 164405391150.
2. How to calculate the LCM of 546, 586, 606, 814, 550?
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 546, 586, 606, 814, 550.
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}.