LCM of 338, 766, 803, 466, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 766, 803, 466, 154 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 338, 766, 803, 466, 154. So, keep reading to learn more.
Given numbers are 338,766,803,466,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,766,803,466,154 is 169544997622.
Find LCM of 338,766,803,466,154 with Prime Factorization
| 2 | 338, 766, 803, 466, 154 |
| 11 | 169, 383, 803, 233, 77 |
| 169, 383, 73, 233, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 169 x 383 x 73 x 233 x 7 = 169544997622
Therefore, the lowest common multiple of 338,766,803,466,154 is 169544997622.
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.
338 x 766 x 803 x 466 x 154 = 14919959790736
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.
338 : 1, 2, 13, 26, 169, 338
766 : 1, 2, 383, 766
803 : 1, 11, 73, 803
466 : 1, 2, 233, 466
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,766,803,466,154, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
766:2x 383
803:11x 73
466:2x 233
154:2x 7x 11
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 11 = 88
Therefore, the value for common factors is 88.
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 = 14919959790736/(1x88)
LCM = 14919959790736/88
LCM = 169544997622
Thus, we can understand that the LCM of 338,766,803,466,154 is 169544997622.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 766, 803, 466, 154
1. What is the LCM of 338, 766, 803, 466, 154?
Answer: LCM of 338, 766, 803, 466, 154 is 169544997622.
2. How to calculate the LCM of 338, 766, 803, 466, 154?
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 338, 766, 803, 466, 154.
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}.