LCM of 884, 784, 354, 118, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 784, 354, 118, 858 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 884, 784, 354, 118, 858. So, keep reading to learn more.
Given numbers are 884,784,354,118,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,784,354,118,858 is 337345008.
Find LCM of 884,784,354,118,858 with Prime Factorization
| 2 | 884, 784, 354, 118, 858 |
| 2 | 442, 392, 177, 59, 429 |
| 3 | 221, 196, 177, 59, 429 |
| 13 | 221, 196, 59, 59, 143 |
| 59 | 17, 196, 59, 59, 11 |
| 17, 196, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 59 x 17 x 196 x 1 x 1 x 11 = 337345008
Therefore, the lowest common multiple of 884,784,354,118,858 is 337345008.
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.
884 x 784 x 354 x 118 x 858 = 24839387629056
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
354 : 1, 2, 3, 6, 59, 118, 177, 354
118 : 1, 2, 59, 118
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,784,354,118,858, is 2.
Now, the common factors can be found like this.
884:2x 2x 13x 17
784:2x 2x 2x 2x 7x 7
354:2x 3x 59
118:2x 59
858:2x 3x 11x 13
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 3x 13x 59 = 36816
Therefore, the value for common factors is 36816.
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 = 24839387629056/(2x36816)
LCM = 24839387629056/73632
LCM = 337345008
Thus, we can understand that the LCM of 884,784,354,118,858 is 337345008.
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FAQs on LCM of 884, 784, 354, 118, 858
1. What is the LCM of 884, 784, 354, 118, 858?
Answer: LCM of 884, 784, 354, 118, 858 is 337345008.
2. How to calculate the LCM of 884, 784, 354, 118, 858?
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 884, 784, 354, 118, 858.
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}.