Find the LCM of 843, 242, 217, 620 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 843, 242, 217, 620. So, keep reading to learn more.
Given numbers are 843,242,217,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,242,217,620 is 442693020.
Find LCM of 843,242,217,620 with Prime Factorization
2 | 843, 242, 217, 620 |
31 | 843, 121, 217, 310 |
843, 121, 7, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 843 x 121 x 7 x 10 = 442693020
Therefore, the lowest common multiple of 843,242,217,620 is 442693020.
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.
843 x 242 x 217 x 620 = 27446967240
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.
843 : 1, 3, 281, 843
242 : 1, 2, 11, 22, 121, 242
217 : 1, 7, 31, 217
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,242,217,620, is 1.
Now, the common factors can be found like this.
843:3x 281
242:2x 11x 11
217:7x 31
620:2x 2x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31 = 62
Therefore, the value for common factors is 62.
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 = 27446967240/(1x62)
LCM = 27446967240/62
LCM = 442693020
Thus, we can understand that the LCM of 843,242,217,620 is 442693020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 242, 217, 620?
Answer: LCM of 843, 242, 217, 620 is 442693020.
2. How to calculate the LCM of 843, 242, 217, 620?
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 843, 242, 217, 620.
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}.