LCM of 480, 642, 528, 404, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 642, 528, 404, 949 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 480, 642, 528, 404, 949. So, keep reading to learn more.
Given numbers are 480,642,528,404,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,642,528,404,949 is 54150851040.
Find LCM of 480,642,528,404,949 with Prime Factorization
| 2 | 480, 642, 528, 404, 949 |
| 2 | 240, 321, 264, 202, 949 |
| 2 | 120, 321, 132, 101, 949 |
| 2 | 60, 321, 66, 101, 949 |
| 3 | 30, 321, 33, 101, 949 |
| 10, 107, 11, 101, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 10 x 107 x 11 x 101 x 949 = 54150851040
Therefore, the lowest common multiple of 480,642,528,404,949 is 54150851040.
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.
480 x 642 x 528 x 404 x 949 = 62381780398080
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
642 : 1, 2, 3, 6, 107, 214, 321, 642
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
404 : 1, 2, 4, 101, 202, 404
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,642,528,404,949, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
642:2x 3x 107
528:2x 2x 2x 2x 3x 11
404:2x 2x 101
949:13x 73
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 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 62381780398080/(1x1152)
LCM = 62381780398080/1152
LCM = 54150851040
Thus, we can understand that the LCM of 480,642,528,404,949 is 54150851040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 480, 642, 528, 404, 949
1. What is the LCM of 480, 642, 528, 404, 949?
Answer: LCM of 480, 642, 528, 404, 949 is 54150851040.
2. How to calculate the LCM of 480, 642, 528, 404, 949?
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 480, 642, 528, 404, 949.
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}.