LCM of 304, 722, 671, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 722, 671, 638 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 304, 722, 671, 638. So, keep reading to learn more.
Given numbers are 304,722,671,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,722,671,638 is 112395184.
Find LCM of 304,722,671,638 with Prime Factorization
| 2 | 304, 722, 671, 638 |
| 11 | 152, 361, 671, 319 |
| 19 | 152, 361, 61, 29 |
| 8, 19, 61, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 8 x 19 x 61 x 29 = 112395184
Therefore, the lowest common multiple of 304,722,671,638 is 112395184.
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.
304 x 722 x 671 x 638 = 93962373824
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
722 : 1, 2, 19, 38, 361, 722
671 : 1, 11, 61, 671
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,722,671,638, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
722:2x 19x 19
671:11x 61
638:2x 11x 29
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 93962373824/(1x836)
LCM = 93962373824/836
LCM = 112395184
Thus, we can understand that the LCM of 304,722,671,638 is 112395184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 304, 722, 671, 638
1. What is the LCM of 304, 722, 671, 638?
Answer: LCM of 304, 722, 671, 638 is 112395184.
2. How to calculate the LCM of 304, 722, 671, 638?
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 304, 722, 671, 638.
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}.