Find the LCM of 285, 689, 615, 636 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 285, 689, 615, 636. So, keep reading to learn more.
Given numbers are 285,689,615,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,689,615,636 is 32203860.
Find LCM of 285,689,615,636 with Prime Factorization
3 | 285, 689, 615, 636 |
5 | 95, 689, 205, 212 |
53 | 19, 689, 41, 212 |
19, 13, 41, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 53 x 19 x 13 x 41 x 4 = 32203860
Therefore, the lowest common multiple of 285,689,615,636 is 32203860.
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.
285 x 689 x 615 x 636 = 76806206100
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
689 : 1, 13, 53, 689
615 : 1, 3, 5, 15, 41, 123, 205, 615
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,689,615,636, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
689:13x 53
615:3x 5x 41
636:2x 2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 53 = 2385
Therefore, the value for common factors is 2385.
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 = 76806206100/(1x2385)
LCM = 76806206100/2385
LCM = 32203860
Thus, we can understand that the LCM of 285,689,615,636 is 32203860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 285, 689, 615, 636?
Answer: LCM of 285, 689, 615, 636 is 32203860.
2. How to calculate the LCM of 285, 689, 615, 636?
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 285, 689, 615, 636.
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}.