LCM of 681, 363, 506, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 363, 506, 288 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 681, 363, 506, 288. So, keep reading to learn more.
Given numbers are 681,363,506,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,363,506,288 is 181941408.
Find LCM of 681,363,506,288 with Prime Factorization
| 2 | 681, 363, 506, 288 |
| 3 | 681, 363, 253, 144 |
| 11 | 227, 121, 253, 48 |
| 227, 11, 23, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 227 x 11 x 23 x 48 = 181941408
Therefore, the lowest common multiple of 681,363,506,288 is 181941408.
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.
681 x 363 x 506 x 288 = 36024398784
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.
681 : 1, 3, 227, 681
363 : 1, 3, 11, 33, 121, 363
506 : 1, 2, 11, 22, 23, 46, 253, 506
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,363,506,288, is 1.
Now, the common factors can be found like this.
681:3x 227
363:3x 11x 11
506:2x 11x 23
288:2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 36024398784/(1x198)
LCM = 36024398784/198
LCM = 181941408
Thus, we can understand that the LCM of 681,363,506,288 is 181941408.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 681, 363, 506, 288
1. What is the LCM of 681, 363, 506, 288?
Answer: LCM of 681, 363, 506, 288 is 181941408.
2. How to calculate the LCM of 681, 363, 506, 288?
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 681, 363, 506, 288.
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}.