Find the LCM of 831, 606, 444, 189, 770 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 831, 606, 444, 189, 770. So, keep reading to learn more.
Given numbers are 831,606,444,189,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,606,444,189,770 is 43041495420.
Find LCM of 831,606,444,189,770 with Prime Factorization
2 | 831, 606, 444, 189, 770 |
3 | 831, 303, 222, 189, 385 |
7 | 277, 101, 74, 63, 385 |
277, 101, 74, 9, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 277 x 101 x 74 x 9 x 55 = 43041495420
Therefore, the lowest common multiple of 831,606,444,189,770 is 43041495420.
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.
831 x 606 x 444 x 189 x 770 = 32539370537520
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.
831 : 1, 3, 277, 831
606 : 1, 2, 3, 6, 101, 202, 303, 606
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
189 : 1, 3, 7, 9, 21, 27, 63, 189
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,606,444,189,770, is 1.
Now, the common factors can be found like this.
831:3x 277
606:2x 3x 101
444:2x 2x 3x 37
189:3x 3x 3x 7
770:2x 5x 7x 11
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 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 32539370537520/(1x756)
LCM = 32539370537520/756
LCM = 43041495420
Thus, we can understand that the LCM of 831,606,444,189,770 is 43041495420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 831, 606, 444, 189, 770?
Answer: LCM of 831, 606, 444, 189, 770 is 43041495420.
2. How to calculate the LCM of 831, 606, 444, 189, 770?
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 831, 606, 444, 189, 770.
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}.