Find the LCM of 543, 973, 578, 692, 797 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 543, 973, 578, 692, 797. So, keep reading to learn more.
Given numbers are 543,973,578,692,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,973,578,692,797 is 84212183565804.
Find LCM of 543,973,578,692,797 with Prime Factorization
2 | 543, 973, 578, 692, 797 |
543, 973, 289, 346, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 543 x 973 x 289 x 346 x 797 = 84212183565804
Therefore, the lowest common multiple of 543,973,578,692,797 is 84212183565804.
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.
543 x 973 x 578 x 692 x 797 = 168424367131608
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.
543 : 1, 3, 181, 543
973 : 1, 7, 139, 973
578 : 1, 2, 17, 34, 289, 578
692 : 1, 2, 4, 173, 346, 692
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,973,578,692,797, is 1.
Now, the common factors can be found like this.
543:3x 181
973:7x 139
578:2x 17x 17
692:2x 2x 173
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 168424367131608/(1x2)
LCM = 168424367131608/2
LCM = 84212183565804
Thus, we can understand that the LCM of 543,973,578,692,797 is 84212183565804.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 973, 578, 692, 797?
Answer: LCM of 543, 973, 578, 692, 797 is 84212183565804.
2. How to calculate the LCM of 543, 973, 578, 692, 797?
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 543, 973, 578, 692, 797.
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}.