LCM of 478, 741, 442, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 741, 442, 390 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 478, 741, 442, 390. So, keep reading to learn more.
Given numbers are 478,741,442,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,741,442,390 is 30106830.
Find LCM of 478,741,442,390 with Prime Factorization
| 2 | 478, 741, 442, 390 |
| 3 | 239, 741, 221, 195 |
| 13 | 239, 247, 221, 65 |
| 239, 19, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 239 x 19 x 17 x 5 = 30106830
Therefore, the lowest common multiple of 478,741,442,390 is 30106830.
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.
478 x 741 x 442 x 390 = 61056651240
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.
478 : 1, 2, 239, 478
741 : 1, 3, 13, 19, 39, 57, 247, 741
442 : 1, 2, 13, 17, 26, 34, 221, 442
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,741,442,390, is 1.
Now, the common factors can be found like this.
478:2x 239
741:3x 13x 19
442:2x 13x 17
390:2x 3x 5x 13
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 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 61056651240/(1x2028)
LCM = 61056651240/2028
LCM = 30106830
Thus, we can understand that the LCM of 478,741,442,390 is 30106830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 741, 442, 390
1. What is the LCM of 478, 741, 442, 390?
Answer: LCM of 478, 741, 442, 390 is 30106830.
2. How to calculate the LCM of 478, 741, 442, 390?
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 478, 741, 442, 390.
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}.