LCM of 948, 228, 384, 391, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 228, 384, 391, 640 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 948, 228, 384, 391, 640. So, keep reading to learn more.
Given numbers are 948,228,384,391,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,228,384,391,640 is 1126830720.
Find LCM of 948,228,384,391,640 with Prime Factorization
| 2 | 948, 228, 384, 391, 640 |
| 2 | 474, 114, 192, 391, 320 |
| 2 | 237, 57, 96, 391, 160 |
| 2 | 237, 57, 48, 391, 80 |
| 2 | 237, 57, 24, 391, 40 |
| 2 | 237, 57, 12, 391, 20 |
| 2 | 237, 57, 6, 391, 10 |
| 3 | 237, 57, 3, 391, 5 |
| 79, 19, 1, 391, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 79 x 19 x 1 x 391 x 5 = 1126830720
Therefore, the lowest common multiple of 948,228,384,391,640 is 1126830720.
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.
948 x 228 x 384 x 391 x 640 = 20769743831040
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
391 : 1, 17, 23, 391
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,228,384,391,640, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
228:2x 2x 3x 19
384:2x 2x 2x 2x 2x 2x 2x 3
391:17x 23
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 2x 2x 2x 3x 3 = 18432
Therefore, the value for common factors is 18432.
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 = 20769743831040/(1x18432)
LCM = 20769743831040/18432
LCM = 1126830720
Thus, we can understand that the LCM of 948,228,384,391,640 is 1126830720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 948, 228, 384, 391, 640
1. What is the LCM of 948, 228, 384, 391, 640?
Answer: LCM of 948, 228, 384, 391, 640 is 1126830720.
2. How to calculate the LCM of 948, 228, 384, 391, 640?
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 948, 228, 384, 391, 640.
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}.