LCM of 442, 947, 754, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 947, 754, 857 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 442, 947, 754, 857. So, keep reading to learn more.
Given numbers are 442,947,754,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,947,754,857 is 10402819622.
Find LCM of 442,947,754,857 with Prime Factorization
| 2 | 442, 947, 754, 857 |
| 13 | 221, 947, 377, 857 |
| 17, 947, 29, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 947 x 29 x 857 = 10402819622
Therefore, the lowest common multiple of 442,947,754,857 is 10402819622.
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.
442 x 947 x 754 x 857 = 270473310172
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
947 : 1, 947
754 : 1, 2, 13, 26, 29, 58, 377, 754
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,947,754,857, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
947:947
754:2x 13x 29
857:857
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 270473310172/(1x26)
LCM = 270473310172/26
LCM = 10402819622
Thus, we can understand that the LCM of 442,947,754,857 is 10402819622.
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FAQs on LCM of 442, 947, 754, 857
1. What is the LCM of 442, 947, 754, 857?
Answer: LCM of 442, 947, 754, 857 is 10402819622.
2. How to calculate the LCM of 442, 947, 754, 857?
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 442, 947, 754, 857.
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}.