LCM of 318, 428, 159, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 428, 159, 848 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 318, 428, 159, 848. So, keep reading to learn more.
Given numbers are 318,428,159,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,428,159,848 is 272208.
Find LCM of 318,428,159,848 with Prime Factorization
| 2 | 318, 428, 159, 848 |
| 2 | 159, 214, 159, 424 |
| 3 | 159, 107, 159, 212 |
| 53 | 53, 107, 53, 212 |
| 1, 107, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 1 x 107 x 1 x 4 = 272208
Therefore, the lowest common multiple of 318,428,159,848 is 272208.
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.
318 x 428 x 159 x 848 = 18351174528
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
428 : 1, 2, 4, 107, 214, 428
159 : 1, 3, 53, 159
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,428,159,848, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
428:2x 2x 107
159:3x 53
848:2x 2x 2x 2x 53
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 3x 53x 53 = 67416
Therefore, the value for common factors is 67416.
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 = 18351174528/(1x67416)
LCM = 18351174528/67416
LCM = 272208
Thus, we can understand that the LCM of 318,428,159,848 is 272208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 318, 428, 159, 848
1. What is the LCM of 318, 428, 159, 848?
Answer: LCM of 318, 428, 159, 848 is 272208.
2. How to calculate the LCM of 318, 428, 159, 848?
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 318, 428, 159, 848.
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}.