Find the LCM of 409, 713, 437, 281, 684 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 409, 713, 437, 281, 684. So, keep reading to learn more.
Given numbers are 409,713,437,281,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,713,437,281,684 is 56049953868.
Find LCM of 409,713,437,281,684 with Prime Factorization
19 | 409, 713, 437, 281, 684 |
23 | 409, 713, 23, 281, 36 |
409, 31, 1, 281, 36 |
Multiply the prime numbers at the bottom and the left side.
19 x 23 x 409 x 31 x 1 x 281 x 36 = 56049953868
Therefore, the lowest common multiple of 409,713,437,281,684 is 56049953868.
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.
409 x 713 x 437 x 281 x 684 = 24493829840316
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.
409 : 1, 409
713 : 1, 23, 31, 713
437 : 1, 19, 23, 437
281 : 1, 281
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,713,437,281,684, is 1.
Now, the common factors can be found like this.
409:409
713:23x 31
437:19x 23
281:281
684:2x 2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 23 = 437
Therefore, the value for common factors is 437.
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 = 24493829840316/(1x437)
LCM = 24493829840316/437
LCM = 56049953868
Thus, we can understand that the LCM of 409,713,437,281,684 is 56049953868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 713, 437, 281, 684?
Answer: LCM of 409, 713, 437, 281, 684 is 56049953868.
2. How to calculate the LCM of 409, 713, 437, 281, 684?
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 409, 713, 437, 281, 684.
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}.