LCM of 296, 560, 218, 418, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 560, 218, 418, 760 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 296, 560, 218, 418, 760. So, keep reading to learn more.
Given numbers are 296,560,218,418,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,560,218,418,760 is 472022320.
Find LCM of 296,560,218,418,760 with Prime Factorization
| 2 | 296, 560, 218, 418, 760 |
| 2 | 148, 280, 109, 209, 380 |
| 2 | 74, 140, 109, 209, 190 |
| 5 | 37, 70, 109, 209, 95 |
| 19 | 37, 14, 109, 209, 19 |
| 37, 14, 109, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 37 x 14 x 109 x 11 x 1 = 472022320
Therefore, the lowest common multiple of 296,560,218,418,760 is 472022320.
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.
296 x 560 x 218 x 418 x 760 = 11479582822400
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
218 : 1, 2, 109, 218
418 : 1, 2, 11, 19, 22, 38, 209, 418
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,560,218,418,760, is 2.
Now, the common factors can be found like this.
296:2x 2x 2x 37
560:2x 2x 2x 2x 5x 7
218:2x 109
418:2x 11x 19
760:2x 2x 2x 5x 19
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 2x 2x 2x 2x 5x 19 = 12160
Therefore, the value for common factors is 12160.
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 = 11479582822400/(2x12160)
LCM = 11479582822400/24320
LCM = 472022320
Thus, we can understand that the LCM of 296,560,218,418,760 is 472022320.
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FAQs on LCM of 296, 560, 218, 418, 760
1. What is the LCM of 296, 560, 218, 418, 760?
Answer: LCM of 296, 560, 218, 418, 760 is 472022320.
2. How to calculate the LCM of 296, 560, 218, 418, 760?
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 296, 560, 218, 418, 760.
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}.