Find the LCM of 476, 113, 966, 406, 841 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 476, 113, 966, 406, 841. So, keep reading to learn more.
Given numbers are 476,113,966,406,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,113,966,406,841 is 3121263852.
Find LCM of 476,113,966,406,841 with Prime Factorization
2 | 476, 113, 966, 406, 841 |
7 | 238, 113, 483, 203, 841 |
29 | 34, 113, 69, 29, 841 |
34, 113, 69, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 34 x 113 x 69 x 1 x 29 = 3121263852
Therefore, the lowest common multiple of 476,113,966,406,841 is 3121263852.
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.
476 x 113 x 966 x 406 x 841 = 17741263734768
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
113 : 1, 113
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
406 : 1, 2, 7, 14, 29, 58, 203, 406
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,113,966,406,841, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
113:113
966:2x 3x 7x 23
406:2x 7x 29
841:29x 29
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 7x 7x 29 = 5684
Therefore, the value for common factors is 5684.
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 = 17741263734768/(1x5684)
LCM = 17741263734768/5684
LCM = 3121263852
Thus, we can understand that the LCM of 476,113,966,406,841 is 3121263852.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 476, 113, 966, 406, 841?
Answer: LCM of 476, 113, 966, 406, 841 is 3121263852.
2. How to calculate the LCM of 476, 113, 966, 406, 841?
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 476, 113, 966, 406, 841.
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}.