Find the LCM of 546, 850, 766, 813 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, 850, 766, 813. So, keep reading to learn more.
Given numbers are 546,850,766,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,850,766,813 is 24085165650.
Find LCM of 546,850,766,813 with Prime Factorization
2 | 546, 850, 766, 813 |
3 | 273, 425, 383, 813 |
91, 425, 383, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 91 x 425 x 383 x 271 = 24085165650
Therefore, the lowest common multiple of 546,850,766,813 is 24085165650.
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 850 x 766 x 813 = 289021987800
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
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
766 : 1, 2, 383, 766
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,850,766,813, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
850:2x 5x 5x 17
766:2x 383
813:3x 271
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 3 = 12
Therefore, the value for common factors is 12.
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 = 289021987800/(1x12)
LCM = 289021987800/12
LCM = 24085165650
Thus, we can understand that the LCM of 546,850,766,813 is 24085165650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 850, 766, 813?
Answer: LCM of 546, 850, 766, 813 is 24085165650.
2. How to calculate the LCM of 546, 850, 766, 813?
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, 850, 766, 813.
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}.