Find the LCM of 603, 308, 767, 791, 982 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 603, 308, 767, 791, 982. So, keep reading to learn more.
Given numbers are 603,308,767,791,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,308,767,791,982 is 7903570438764.
Find LCM of 603,308,767,791,982 with Prime Factorization
2 | 603, 308, 767, 791, 982 |
7 | 603, 154, 767, 791, 491 |
603, 22, 767, 113, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 603 x 22 x 767 x 113 x 491 = 7903570438764
Therefore, the lowest common multiple of 603,308,767,791,982 is 7903570438764.
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.
603 x 308 x 767 x 791 x 982 = 110649986142696
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.
603 : 1, 3, 9, 67, 201, 603
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
767 : 1, 13, 59, 767
791 : 1, 7, 113, 791
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,308,767,791,982, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
308:2x 2x 7x 11
767:13x 59
791:7x 113
982:2x 491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 110649986142696/(1x14)
LCM = 110649986142696/14
LCM = 7903570438764
Thus, we can understand that the LCM of 603,308,767,791,982 is 7903570438764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 603, 308, 767, 791, 982?
Answer: LCM of 603, 308, 767, 791, 982 is 7903570438764.
2. How to calculate the LCM of 603, 308, 767, 791, 982?
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 603, 308, 767, 791, 982.
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}.