LCM of 790, 894, 880, 645, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 894, 880, 645, 159 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 790, 894, 880, 645, 159. So, keep reading to learn more.
Given numbers are 790,894,880,645,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,894,880,645,159 is 70820927760.
Find LCM of 790,894,880,645,159 with Prime Factorization
| 2 | 790, 894, 880, 645, 159 |
| 3 | 395, 447, 440, 645, 159 |
| 5 | 395, 149, 440, 215, 53 |
| 79, 149, 88, 43, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 79 x 149 x 88 x 43 x 53 = 70820927760
Therefore, the lowest common multiple of 790,894,880,645,159 is 70820927760.
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.
790 x 894 x 880 x 645 x 159 = 63738834984000
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
894 : 1, 2, 3, 6, 149, 298, 447, 894
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
645 : 1, 3, 5, 15, 43, 129, 215, 645
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,894,880,645,159, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
894:2x 3x 149
880:2x 2x 2x 2x 5x 11
645:3x 5x 43
159:3x 53
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 63738834984000/(1x900)
LCM = 63738834984000/900
LCM = 70820927760
Thus, we can understand that the LCM of 790,894,880,645,159 is 70820927760.
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FAQs on LCM of 790, 894, 880, 645, 159
1. What is the LCM of 790, 894, 880, 645, 159?
Answer: LCM of 790, 894, 880, 645, 159 is 70820927760.
2. How to calculate the LCM of 790, 894, 880, 645, 159?
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 790, 894, 880, 645, 159.
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}.