LCM of 357, 442, 240, 312, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 442, 240, 312, 896 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 357, 442, 240, 312, 896. So, keep reading to learn more.
Given numbers are 357,442,240,312,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,442,240,312,896 is 2970240.
Find LCM of 357,442,240,312,896 with Prime Factorization
| 2 | 357, 442, 240, 312, 896 |
| 2 | 357, 221, 120, 156, 448 |
| 2 | 357, 221, 60, 78, 224 |
| 2 | 357, 221, 30, 39, 112 |
| 3 | 357, 221, 15, 39, 56 |
| 7 | 119, 221, 5, 13, 56 |
| 13 | 17, 221, 5, 13, 8 |
| 17 | 17, 17, 5, 1, 8 |
| 1, 1, 5, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 x 1 x 1 x 5 x 1 x 8 = 2970240
Therefore, the lowest common multiple of 357,442,240,312,896 is 2970240.
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.
357 x 442 x 240 x 312 x 896 = 10586790789120
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
442 : 1, 2, 13, 17, 26, 34, 221, 442
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,442,240,312,896, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
442:2x 13x 17
240:2x 2x 2x 2x 3x 5
312:2x 2x 2x 3x 13
896:2x 2x 2x 2x 2x 2x 2x 7
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 2x 3x 3x 7x 13x 17 = 3564288
Therefore, the value for common factors is 3564288.
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 = 10586790789120/(1x3564288)
LCM = 10586790789120/3564288
LCM = 2970240
Thus, we can understand that the LCM of 357,442,240,312,896 is 2970240.
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FAQs on LCM of 357, 442, 240, 312, 896
1. What is the LCM of 357, 442, 240, 312, 896?
Answer: LCM of 357, 442, 240, 312, 896 is 2970240.
2. How to calculate the LCM of 357, 442, 240, 312, 896?
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 357, 442, 240, 312, 896.
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}.