Find the LCM of 210, 473, 781, 561, 865 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 210, 473, 781, 561, 865. So, keep reading to learn more.
Given numbers are 210,473,781,561,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,473,781,561,865 is 20741196630.
Find LCM of 210,473,781,561,865 with Prime Factorization
3 | 210, 473, 781, 561, 865 |
5 | 70, 473, 781, 187, 865 |
11 | 14, 473, 781, 187, 173 |
14, 43, 71, 17, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 14 x 43 x 71 x 17 x 173 = 20741196630
Therefore, the lowest common multiple of 210,473,781,561,865 is 20741196630.
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.
210 x 473 x 781 x 561 x 865 = 37645271883450
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
473 : 1, 11, 43, 473
781 : 1, 11, 71, 781
561 : 1, 3, 11, 17, 33, 51, 187, 561
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,473,781,561,865, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
473:11x 43
781:11x 71
561:3x 11x 17
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 11 = 1815
Therefore, the value for common factors is 1815.
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 = 37645271883450/(1x1815)
LCM = 37645271883450/1815
LCM = 20741196630
Thus, we can understand that the LCM of 210,473,781,561,865 is 20741196630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 473, 781, 561, 865?
Answer: LCM of 210, 473, 781, 561, 865 is 20741196630.
2. How to calculate the LCM of 210, 473, 781, 561, 865?
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 210, 473, 781, 561, 865.
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}.