Find the LCM of 403, 812, 968, 409, 384 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, 812, 968, 409, 384. So, keep reading to learn more.
Given numbers are 403,812,968,409,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,812,968,409,384 is 1554679910784.
Find LCM of 403,812,968,409,384 with Prime Factorization
2 | 403, 812, 968, 409, 384 |
2 | 403, 406, 484, 409, 192 |
2 | 403, 203, 242, 409, 96 |
403, 203, 121, 409, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 403 x 203 x 121 x 409 x 48 = 1554679910784
Therefore, the lowest common multiple of 403,812,968,409,384 is 1554679910784.
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 812 x 968 x 409 x 384 = 49749757145088
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
409 : 1, 409
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,812,968,409,384, is 1.
Now, the common factors can be found like this.
403:13x 31
812:2x 2x 7x 29
968:2x 2x 2x 11x 11
409:409
384:2x 2x 2x 2x 2x 2x 2x 3
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 2 = 32
Therefore, the value for common factors is 32.
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 = 49749757145088/(1x32)
LCM = 49749757145088/32
LCM = 1554679910784
Thus, we can understand that the LCM of 403,812,968,409,384 is 1554679910784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 812, 968, 409, 384?
Answer: LCM of 403, 812, 968, 409, 384 is 1554679910784.
2. How to calculate the LCM of 403, 812, 968, 409, 384?
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, 812, 968, 409, 384.
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}.