LCM of 546, 715, 106, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 715, 106, 260 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, 715, 106, 260. So, keep reading to learn more.
Given numbers are 546,715,106,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,715,106,260 is 3183180.
Find LCM of 546,715,106,260 with Prime Factorization
| 2 | 546, 715, 106, 260 |
| 5 | 273, 715, 53, 130 |
| 13 | 273, 143, 53, 26 |
| 21, 11, 53, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 21 x 11 x 53 x 2 = 3183180
Therefore, the lowest common multiple of 546,715,106,260 is 3183180.
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 715 x 106 x 260 = 10759148400
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
106 : 1, 2, 53, 106
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,715,106,260, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
715:5x 11x 13
106:2x 53
260:2x 2x 5x 13
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 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 10759148400/(1x3380)
LCM = 10759148400/3380
LCM = 3183180
Thus, we can understand that the LCM of 546,715,106,260 is 3183180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 715, 106, 260
1. What is the LCM of 546, 715, 106, 260?
Answer: LCM of 546, 715, 106, 260 is 3183180.
2. How to calculate the LCM of 546, 715, 106, 260?
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, 715, 106, 260.
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}.