LCM of 215, 430, 228, 472, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 430, 228, 472, 297 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 215, 430, 228, 472, 297. So, keep reading to learn more.
Given numbers are 215,430,228,472,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,430,228,472,297 is 572651640.
Find LCM of 215,430,228,472,297 with Prime Factorization
| 2 | 215, 430, 228, 472, 297 |
| 2 | 215, 215, 114, 236, 297 |
| 3 | 215, 215, 57, 118, 297 |
| 5 | 215, 215, 19, 118, 99 |
| 43 | 43, 43, 19, 118, 99 |
| 1, 1, 19, 118, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 1 x 1 x 19 x 118 x 99 = 572651640
Therefore, the lowest common multiple of 215,430,228,472,297 is 572651640.
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.
215 x 430 x 228 x 472 x 297 = 2954882462400
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.
215 : 1, 5, 43, 215
430 : 1, 2, 5, 10, 43, 86, 215, 430
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
472 : 1, 2, 4, 8, 59, 118, 236, 472
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,430,228,472,297, is 1.
Now, the common factors can be found like this.
215:5x 43
430:2x 5x 43
228:2x 2x 3x 19
472:2x 2x 2x 59
297:3x 3x 3x 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 3x 5x 43 = 5160
Therefore, the value for common factors is 5160.
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 = 2954882462400/(1x5160)
LCM = 2954882462400/5160
LCM = 572651640
Thus, we can understand that the LCM of 215,430,228,472,297 is 572651640.
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FAQs on LCM of 215, 430, 228, 472, 297
1. What is the LCM of 215, 430, 228, 472, 297?
Answer: LCM of 215, 430, 228, 472, 297 is 572651640.
2. How to calculate the LCM of 215, 430, 228, 472, 297?
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 215, 430, 228, 472, 297.
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}.