Find the LCM of 403, 490, 472, 814, 985 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 403, 490, 472, 814, 985. So, keep reading to learn more.
Given numbers are 403,490,472,814,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,490,472,814,985 is 3736575522680.
Find LCM of 403,490,472,814,985 with Prime Factorization
2 | 403, 490, 472, 814, 985 |
5 | 403, 245, 236, 407, 985 |
403, 49, 236, 407, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 403 x 49 x 236 x 407 x 197 = 3736575522680
Therefore, the lowest common multiple of 403,490,472,814,985 is 3736575522680.
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.
403 x 490 x 472 x 814 x 985 = 74731510453600
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.
403 : 1, 13, 31, 403
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
472 : 1, 2, 4, 8, 59, 118, 236, 472
814 : 1, 2, 11, 22, 37, 74, 407, 814
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,490,472,814,985, is 1.
Now, the common factors can be found like this.
403:13x 31
490:2x 5x 7x 7
472:2x 2x 2x 59
814:2x 11x 37
985:5x 197
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 5 = 20
Therefore, the value for common factors is 20.
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 = 74731510453600/(1x20)
LCM = 74731510453600/20
LCM = 3736575522680
Thus, we can understand that the LCM of 403,490,472,814,985 is 3736575522680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 490, 472, 814, 985?
Answer: LCM of 403, 490, 472, 814, 985 is 3736575522680.
2. How to calculate the LCM of 403, 490, 472, 814, 985?
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 403, 490, 472, 814, 985.
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}.