LCM of 118, 784, 441, 314, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 784, 441, 314, 120 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 118, 784, 441, 314, 120. So, keep reading to learn more.
Given numbers are 118,784,441,314,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,784,441,314,120 is 326798640.
Find LCM of 118,784,441,314,120 with Prime Factorization
| 2 | 118, 784, 441, 314, 120 |
| 2 | 59, 392, 441, 157, 60 |
| 2 | 59, 196, 441, 157, 30 |
| 3 | 59, 98, 441, 157, 15 |
| 7 | 59, 98, 147, 157, 5 |
| 7 | 59, 14, 21, 157, 5 |
| 59, 2, 3, 157, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 7 x 59 x 2 x 3 x 157 x 5 = 326798640
Therefore, the lowest common multiple of 118,784,441,314,120 is 326798640.
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.
118 x 784 x 441 x 314 x 120 = 1537260802560
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.
118 : 1, 2, 59, 118
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
314 : 1, 2, 157, 314
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,784,441,314,120, is 1.
Now, the common factors can be found like this.
118:2x 59
784:2x 2x 2x 2x 7x 7
441:3x 3x 7x 7
314:2x 157
120:2x 2x 2x 3x 5
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 2x 3x 7x 7 = 4704
Therefore, the value for common factors is 4704.
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 = 1537260802560/(1x4704)
LCM = 1537260802560/4704
LCM = 326798640
Thus, we can understand that the LCM of 118,784,441,314,120 is 326798640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 118, 784, 441, 314, 120
1. What is the LCM of 118, 784, 441, 314, 120?
Answer: LCM of 118, 784, 441, 314, 120 is 326798640.
2. How to calculate the LCM of 118, 784, 441, 314, 120?
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 118, 784, 441, 314, 120.
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}.