Find the LCM of 482, 453, 453, 238, 628 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 482, 453, 453, 238, 628. So, keep reading to learn more.
Given numbers are 482,453,453,238,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,453,453,238,628 is 8158716636.
Find LCM of 482,453,453,238,628 with Prime Factorization
2 | 482, 453, 453, 238, 628 |
3 | 241, 453, 453, 119, 314 |
151 | 241, 151, 151, 119, 314 |
241, 1, 1, 119, 314 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 241 x 1 x 1 x 119 x 314 = 8158716636
Therefore, the lowest common multiple of 482,453,453,238,628 is 8158716636.
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.
482 x 453 x 453 x 238 x 628 = 14783594544432
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.
482 : 1, 2, 241, 482
453 : 1, 3, 151, 453
453 : 1, 3, 151, 453
238 : 1, 2, 7, 14, 17, 34, 119, 238
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,453,453,238,628, is 1.
Now, the common factors can be found like this.
482:2x 241
453:3x 151
453:3x 151
238:2x 7x 17
628:2x 2x 157
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 151 = 1812
Therefore, the value for common factors is 1812.
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 = 14783594544432/(1x1812)
LCM = 14783594544432/1812
LCM = 8158716636
Thus, we can understand that the LCM of 482,453,453,238,628 is 8158716636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 482, 453, 453, 238, 628?
Answer: LCM of 482, 453, 453, 238, 628 is 8158716636.
2. How to calculate the LCM of 482, 453, 453, 238, 628?
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 482, 453, 453, 238, 628.
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}.