Find the LCM of 418, 278, 760, 802 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 418, 278, 760, 802. So, keep reading to learn more.
Given numbers are 418,278,760,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,278,760,802 is 465978040.
Find LCM of 418,278,760,802 with Prime Factorization
2 | 418, 278, 760, 802 |
19 | 209, 139, 380, 401 |
11, 139, 20, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 11 x 139 x 20 x 401 = 465978040
Therefore, the lowest common multiple of 418,278,760,802 is 465978040.
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.
418 x 278 x 760 x 802 = 70828662080
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
278 : 1, 2, 139, 278
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
802 : 1, 2, 401, 802
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,278,760,802, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
278:2x 139
760:2x 2x 2x 5x 19
802:2x 401
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 19 = 76
Therefore, the value for common factors is 76.
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 = 70828662080/(2x76)
LCM = 70828662080/152
LCM = 465978040
Thus, we can understand that the LCM of 418,278,760,802 is 465978040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 278, 760, 802?
Answer: LCM of 418, 278, 760, 802 is 465978040.
2. How to calculate the LCM of 418, 278, 760, 802?
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 418, 278, 760, 802.
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}.