LCM of 451, 646, 374, 220, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 646, 374, 220, 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 451, 646, 374, 220, 299. So, keep reading to learn more.
Given numbers are 451,646,374,220,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,646,374,220,299 is 871124540.
Find LCM of 451,646,374,220,299 with Prime Factorization
| 2 | 451, 646, 374, 220, 299 |
| 11 | 451, 323, 187, 110, 299 |
| 17 | 41, 323, 17, 10, 299 |
| 41, 19, 1, 10, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 41 x 19 x 1 x 10 x 299 = 871124540
Therefore, the lowest common multiple of 451,646,374,220,299 is 871124540.
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.
451 x 646 x 374 x 220 x 299 = 7167612715120
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.
451 : 1, 11, 41, 451
646 : 1, 2, 17, 19, 34, 38, 323, 646
374 : 1, 2, 11, 17, 22, 34, 187, 374
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,646,374,220,299, is 1.
Now, the common factors can be found like this.
451:11x 41
646:2x 17x 19
374:2x 11x 17
220:2x 2x 5x 11
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 11x 11x 17 = 8228
Therefore, the value for common factors is 8228.
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 = 7167612715120/(1x8228)
LCM = 7167612715120/8228
LCM = 871124540
Thus, we can understand that the LCM of 451,646,374,220,299 is 871124540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 646, 374, 220, 299
1. What is the LCM of 451, 646, 374, 220, 299?
Answer: LCM of 451, 646, 374, 220, 299 is 871124540.
2. How to calculate the LCM of 451, 646, 374, 220, 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 451, 646, 374, 220, 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}.