Find the LCM of 606, 450, 431, 407, 981 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, 450, 431, 407, 981. So, keep reading to learn more.
Given numbers are 606,450,431,407,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,450,431,407,981 is 869024588850.
Find LCM of 606,450,431,407,981 with Prime Factorization
2 | 606, 450, 431, 407, 981 |
3 | 303, 225, 431, 407, 981 |
3 | 101, 75, 431, 407, 327 |
101, 25, 431, 407, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 25 x 431 x 407 x 109 = 869024588850
Therefore, the lowest common multiple of 606,450,431,407,981 is 869024588850.
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 450 x 431 x 407 x 981 = 46927327797900
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
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
431 : 1, 431
407 : 1, 11, 37, 407
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,450,431,407,981, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
450:2x 3x 3x 5x 5
431:431
407:11x 37
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 46927327797900/(1x54)
LCM = 46927327797900/54
LCM = 869024588850
Thus, we can understand that the LCM of 606,450,431,407,981 is 869024588850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 450, 431, 407, 981?
Answer: LCM of 606, 450, 431, 407, 981 is 869024588850.
2. How to calculate the LCM of 606, 450, 431, 407, 981?
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, 450, 431, 407, 981.
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}.