LCM of 234, 803, 338, 324, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 803, 338, 324, 655 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 234, 803, 338, 324, 655. So, keep reading to learn more.
Given numbers are 234,803,338,324,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,803,338,324,655 is 28799739540.
Find LCM of 234,803,338,324,655 with Prime Factorization
| 2 | 234, 803, 338, 324, 655 |
| 3 | 117, 803, 169, 162, 655 |
| 3 | 39, 803, 169, 54, 655 |
| 13 | 13, 803, 169, 18, 655 |
| 1, 803, 13, 18, 655 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 1 x 803 x 13 x 18 x 655 = 28799739540
Therefore, the lowest common multiple of 234,803,338,324,655 is 28799739540.
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.
234 x 803 x 338 x 324 x 655 = 13478278104720
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
803 : 1, 11, 73, 803
338 : 1, 2, 13, 26, 169, 338
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,803,338,324,655, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
803:11x 73
338:2x 13x 13
324:2x 2x 3x 3x 3x 3
655:5x 131
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 13478278104720/(1x468)
LCM = 13478278104720/468
LCM = 28799739540
Thus, we can understand that the LCM of 234,803,338,324,655 is 28799739540.
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FAQs on LCM of 234, 803, 338, 324, 655
1. What is the LCM of 234, 803, 338, 324, 655?
Answer: LCM of 234, 803, 338, 324, 655 is 28799739540.
2. How to calculate the LCM of 234, 803, 338, 324, 655?
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 234, 803, 338, 324, 655.
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}.