Find the LCM of 546, 689, 899, 570, 718 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, 689, 899, 570, 718. So, keep reading to learn more.
Given numbers are 546,689,899,570,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,689,899,570,718 is 887250510510.
Find LCM of 546,689,899,570,718 with Prime Factorization
2 | 546, 689, 899, 570, 718 |
3 | 273, 689, 899, 285, 359 |
13 | 91, 689, 899, 95, 359 |
7, 53, 899, 95, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 7 x 53 x 899 x 95 x 359 = 887250510510
Therefore, the lowest common multiple of 546,689,899,570,718 is 887250510510.
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 689 x 899 x 570 x 718 = 138411079639560
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
689 : 1, 13, 53, 689
899 : 1, 29, 31, 899
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,689,899,570,718, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
689:13x 53
899:29x 31
570:2x 3x 5x 19
718:2x 359
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 138411079639560/(1x156)
LCM = 138411079639560/156
LCM = 887250510510
Thus, we can understand that the LCM of 546,689,899,570,718 is 887250510510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 689, 899, 570, 718?
Answer: LCM of 546, 689, 899, 570, 718 is 887250510510.
2. How to calculate the LCM of 546, 689, 899, 570, 718?
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, 689, 899, 570, 718.
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}.