Find the LCM of 561, 803, 668, 702 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 561, 803, 668, 702. So, keep reading to learn more.
Given numbers are 561,803,668,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,803,668,702 is 3200722668.
Find LCM of 561,803,668,702 with Prime Factorization
2 | 561, 803, 668, 702 |
3 | 561, 803, 334, 351 |
11 | 187, 803, 334, 117 |
17, 73, 334, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 73 x 334 x 117 = 3200722668
Therefore, the lowest common multiple of 561,803,668,702 is 3200722668.
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.
561 x 803 x 668 x 702 = 211247696088
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
803 : 1, 11, 73, 803
668 : 1, 2, 4, 167, 334, 668
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,803,668,702, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
803:11x 73
668:2x 2x 167
702:2x 3x 3x 3x 13
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 11 = 66
Therefore, the value for common factors is 66.
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 = 211247696088/(1x66)
LCM = 211247696088/66
LCM = 3200722668
Thus, we can understand that the LCM of 561,803,668,702 is 3200722668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 803, 668, 702?
Answer: LCM of 561, 803, 668, 702 is 3200722668.
2. How to calculate the LCM of 561, 803, 668, 702?
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 561, 803, 668, 702.
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}.