LCM of 612, 808, 546, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 808, 546, 861 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 612, 808, 546, 861. So, keep reading to learn more.
Given numbers are 612,808,546,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,808,546,861 is 461241144.
Find LCM of 612,808,546,861 with Prime Factorization
| 2 | 612, 808, 546, 861 |
| 2 | 306, 404, 273, 861 |
| 3 | 153, 202, 273, 861 |
| 7 | 51, 202, 91, 287 |
| 51, 202, 13, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 51 x 202 x 13 x 41 = 461241144
Therefore, the lowest common multiple of 612,808,546,861 is 461241144.
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.
612 x 808 x 546 x 861 = 232465536576
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
808 : 1, 2, 4, 8, 101, 202, 404, 808
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,808,546,861, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
808:2x 2x 2x 101
546:2x 3x 7x 13
861:3x 7x 41
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 7 = 504
Therefore, the value for common factors is 504.
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 = 232465536576/(1x504)
LCM = 232465536576/504
LCM = 461241144
Thus, we can understand that the LCM of 612,808,546,861 is 461241144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 612, 808, 546, 861
1. What is the LCM of 612, 808, 546, 861?
Answer: LCM of 612, 808, 546, 861 is 461241144.
2. How to calculate the LCM of 612, 808, 546, 861?
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 612, 808, 546, 861.
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}.