Find the LCM of 606, 107, 707, 993 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 606, 107, 707, 993. So, keep reading to learn more.
Given numbers are 606,107,707,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,107,707,993 is 150238914.
Find LCM of 606,107,707,993 with Prime Factorization
3 | 606, 107, 707, 993 |
101 | 202, 107, 707, 331 |
2, 107, 7, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 2 x 107 x 7 x 331 = 150238914
Therefore, the lowest common multiple of 606,107,707,993 is 150238914.
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.
606 x 107 x 707 x 993 = 45522390942
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
107 : 1, 107
707 : 1, 7, 101, 707
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,107,707,993, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
107:107
707:7x 101
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 101 = 303
Therefore, the value for common factors is 303.
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 = 45522390942/(1x303)
LCM = 45522390942/303
LCM = 150238914
Thus, we can understand that the LCM of 606,107,707,993 is 150238914.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 107, 707, 993?
Answer: LCM of 606, 107, 707, 993 is 150238914.
2. How to calculate the LCM of 606, 107, 707, 993?
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 606, 107, 707, 993.
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}.