Find the LCM of 240, 372, 158, 242, 790 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 240, 372, 158, 242, 790. So, keep reading to learn more.
Given numbers are 240,372,158,242,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,372,158,242,790 is 71118960.
Find LCM of 240,372,158,242,790 with Prime Factorization
2 | 240, 372, 158, 242, 790 |
2 | 120, 186, 79, 121, 395 |
3 | 60, 93, 79, 121, 395 |
5 | 20, 31, 79, 121, 395 |
79 | 4, 31, 79, 121, 79 |
4, 31, 1, 121, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 79 x 4 x 31 x 1 x 121 x 1 = 71118960
Therefore, the lowest common multiple of 240,372,158,242,790 is 71118960.
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.
240 x 372 x 158 x 242 x 790 = 2696830963200
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
158 : 1, 2, 79, 158
242 : 1, 2, 11, 22, 121, 242
790 : 1, 2, 5, 10, 79, 158, 395, 790
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,372,158,242,790, is 2.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
372:2x 2x 3x 31
158:2x 79
242:2x 11x 11
790:2x 5x 79
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 2x 2x 3x 5x 79 = 18960
Therefore, the value for common factors is 18960.
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 = 2696830963200/(2x18960)
LCM = 2696830963200/37920
LCM = 71118960
Thus, we can understand that the LCM of 240,372,158,242,790 is 71118960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 372, 158, 242, 790?
Answer: LCM of 240, 372, 158, 242, 790 is 71118960.
2. How to calculate the LCM of 240, 372, 158, 242, 790?
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 240, 372, 158, 242, 790.
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}.