Find the LCM of 483, 736, 407, 706, 615 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 483, 736, 407, 706, 615. So, keep reading to learn more.
Given numbers are 483,736,407,706,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,736,407,706,615 is 455218690080.
Find LCM of 483,736,407,706,615 with Prime Factorization
2 | 483, 736, 407, 706, 615 |
3 | 483, 368, 407, 353, 615 |
23 | 161, 368, 407, 353, 205 |
7, 16, 407, 353, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 16 x 407 x 353 x 205 = 455218690080
Therefore, the lowest common multiple of 483,736,407,706,615 is 455218690080.
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.
483 x 736 x 407 x 706 x 615 = 62820179231040
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
407 : 1, 11, 37, 407
706 : 1, 2, 353, 706
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,736,407,706,615, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
736:2x 2x 2x 2x 2x 23
407:11x 37
706:2x 353
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 62820179231040/(1x138)
LCM = 62820179231040/138
LCM = 455218690080
Thus, we can understand that the LCM of 483,736,407,706,615 is 455218690080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 483, 736, 407, 706, 615?
Answer: LCM of 483, 736, 407, 706, 615 is 455218690080.
2. How to calculate the LCM of 483, 736, 407, 706, 615?
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 483, 736, 407, 706, 615.
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}.