LCM of 642, 429, 896, 880, 863
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 429, 896, 880, 863 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 642, 429, 896, 880, 863. So, keep reading to learn more.
Given numbers are 642,429,896,880,863
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,429,896,880,863 is 177472014720.
Find LCM of 642,429,896,880,863 with Prime Factorization
| 2 | 642, 429, 896, 880, 863 |
| 2 | 321, 429, 448, 440, 863 |
| 2 | 321, 429, 224, 220, 863 |
| 2 | 321, 429, 112, 110, 863 |
| 3 | 321, 429, 56, 55, 863 |
| 11 | 107, 143, 56, 55, 863 |
| 107, 13, 56, 5, 863 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 107 x 13 x 56 x 5 x 863 = 177472014720
Therefore, the lowest common multiple of 642,429,896,880,863 is 177472014720.
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.
642 x 429 x 896 x 880 x 863 = 187410447544320
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
429 : 1, 3, 11, 13, 33, 39, 143, 429
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
863 : 1, 863
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,429,896,880,863, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
429:3x 11x 13
896:2x 2x 2x 2x 2x 2x 2x 7
880:2x 2x 2x 2x 5x 11
863:863
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 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 187410447544320/(1x1056)
LCM = 187410447544320/1056
LCM = 177472014720
Thus, we can understand that the LCM of 642,429,896,880,863 is 177472014720.
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FAQs on LCM of 642, 429, 896, 880, 863
1. What is the LCM of 642, 429, 896, 880, 863?
Answer: LCM of 642, 429, 896, 880, 863 is 177472014720.
2. How to calculate the LCM of 642, 429, 896, 880, 863?
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 642, 429, 896, 880, 863.
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}.