LCM of 272, 844, 633, 214, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 844, 633, 214, 299 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 272, 844, 633, 214, 299. So, keep reading to learn more.
Given numbers are 272,844,633,214,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,844,633,214,299 is 5508426768.
Find LCM of 272,844,633,214,299 with Prime Factorization
| 2 | 272, 844, 633, 214, 299 |
| 2 | 136, 422, 633, 107, 299 |
| 211 | 68, 211, 633, 107, 299 |
| 68, 1, 3, 107, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 68 x 1 x 3 x 107 x 299 = 5508426768
Therefore, the lowest common multiple of 272,844,633,214,299 is 5508426768.
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.
272 x 844 x 633 x 214 x 299 = 9298224384384
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
844 : 1, 2, 4, 211, 422, 844
633 : 1, 3, 211, 633
214 : 1, 2, 107, 214
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,844,633,214,299, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
844:2x 2x 211
633:3x 211
214:2x 107
299:13x 23
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 211 = 1688
Therefore, the value for common factors is 1688.
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 = 9298224384384/(1x1688)
LCM = 9298224384384/1688
LCM = 5508426768
Thus, we can understand that the LCM of 272,844,633,214,299 is 5508426768.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 272, 844, 633, 214, 299
1. What is the LCM of 272, 844, 633, 214, 299?
Answer: LCM of 272, 844, 633, 214, 299 is 5508426768.
2. How to calculate the LCM of 272, 844, 633, 214, 299?
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 272, 844, 633, 214, 299.
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}.