Find the LCM of 435, 493, 566, 209, 145 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 435, 493, 566, 209, 145. So, keep reading to learn more.
Given numbers are 435,493,566,209,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,493,566,209,145 is 874784130.
Find LCM of 435,493,566,209,145 with Prime Factorization
5 | 435, 493, 566, 209, 145 |
29 | 87, 493, 566, 209, 29 |
3, 17, 566, 209, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 3 x 17 x 566 x 209 x 1 = 874784130
Therefore, the lowest common multiple of 435,493,566,209,145 is 874784130.
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.
435 x 493 x 566 x 209 x 145 = 3678467266650
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
493 : 1, 17, 29, 493
566 : 1, 2, 283, 566
209 : 1, 11, 19, 209
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,493,566,209,145, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
493:17x 29
566:2x 283
209:11x 19
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 29x 29 = 4205
Therefore, the value for common factors is 4205.
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 = 3678467266650/(1x4205)
LCM = 3678467266650/4205
LCM = 874784130
Thus, we can understand that the LCM of 435,493,566,209,145 is 874784130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 435, 493, 566, 209, 145?
Answer: LCM of 435, 493, 566, 209, 145 is 874784130.
2. How to calculate the LCM of 435, 493, 566, 209, 145?
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 435, 493, 566, 209, 145.
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}.