LCM of 297, 414, 361, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 414, 361, 480 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 297, 414, 361, 480. So, keep reading to learn more.
Given numbers are 297,414,361,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,414,361,480 is 394558560.
Find LCM of 297,414,361,480 with Prime Factorization
| 2 | 297, 414, 361, 480 |
| 3 | 297, 207, 361, 240 |
| 3 | 99, 69, 361, 80 |
| 33, 23, 361, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 33 x 23 x 361 x 80 = 394558560
Therefore, the lowest common multiple of 297,414,361,480 is 394558560.
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.
297 x 414 x 361 x 480 = 21306162240
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
361 : 1, 19, 361
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,414,361,480, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
414:2x 3x 3x 23
361:19x 19
480:2x 2x 2x 2x 2x 3x 5
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 3 = 54
Therefore, the value for common factors is 54.
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 = 21306162240/(1x54)
LCM = 21306162240/54
LCM = 394558560
Thus, we can understand that the LCM of 297,414,361,480 is 394558560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 414, 361, 480
1. What is the LCM of 297, 414, 361, 480?
Answer: LCM of 297, 414, 361, 480 is 394558560.
2. How to calculate the LCM of 297, 414, 361, 480?
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 297, 414, 361, 480.
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}.