Find the LCM of 683, 646, 615, 171, 708 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 683, 646, 615, 171, 708. So, keep reading to learn more.
Given numbers are 683,646,615,171,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,646,615,171,708 is 96057570780.
Find LCM of 683,646,615,171,708 with Prime Factorization
2 | 683, 646, 615, 171, 708 |
3 | 683, 323, 615, 171, 354 |
19 | 683, 323, 205, 57, 118 |
683, 17, 205, 3, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 683 x 17 x 205 x 3 x 118 = 96057570780
Therefore, the lowest common multiple of 683,646,615,171,708 is 96057570780.
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.
683 x 646 x 615 x 171 x 708 = 32851689206760
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.
683 : 1, 683
646 : 1, 2, 17, 19, 34, 38, 323, 646
615 : 1, 3, 5, 15, 41, 123, 205, 615
171 : 1, 3, 9, 19, 57, 171
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,646,615,171,708, is 1.
Now, the common factors can be found like this.
683:683
646:2x 17x 19
615:3x 5x 41
171:3x 3x 19
708:2x 2x 3x 59
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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 32851689206760/(1x342)
LCM = 32851689206760/342
LCM = 96057570780
Thus, we can understand that the LCM of 683,646,615,171,708 is 96057570780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 683, 646, 615, 171, 708?
Answer: LCM of 683, 646, 615, 171, 708 is 96057570780.
2. How to calculate the LCM of 683, 646, 615, 171, 708?
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 683, 646, 615, 171, 708.
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}.