LCM of 428, 438, 634, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 438, 634, 642 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 428, 438, 634, 642. So, keep reading to learn more.
Given numbers are 428,438,634,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,438,634,642 is 29713044.
Find LCM of 428,438,634,642 with Prime Factorization
| 2 | 428, 438, 634, 642 |
| 3 | 214, 219, 317, 321 |
| 107 | 214, 73, 317, 107 |
| 2, 73, 317, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 2 x 73 x 317 x 1 = 29713044
Therefore, the lowest common multiple of 428,438,634,642 is 29713044.
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.
428 x 438 x 634 x 642 = 76303096992
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.
428 : 1, 2, 4, 107, 214, 428
438 : 1, 2, 3, 6, 73, 146, 219, 438
634 : 1, 2, 317, 634
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,438,634,642, is 2.
Now, the common factors can be found like this.
428:2x 2x 107
438:2x 3x 73
634:2x 317
642:2x 3x 107
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 107 = 1284
Therefore, the value for common factors is 1284.
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 = 76303096992/(2x1284)
LCM = 76303096992/2568
LCM = 29713044
Thus, we can understand that the LCM of 428,438,634,642 is 29713044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 428, 438, 634, 642
1. What is the LCM of 428, 438, 634, 642?
Answer: LCM of 428, 438, 634, 642 is 29713044.
2. How to calculate the LCM of 428, 438, 634, 642?
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 428, 438, 634, 642.
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}.