Find the LCM of 781, 174, 870, 693 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 781, 174, 870, 693. So, keep reading to learn more.
Given numbers are 781,174,870,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,174,870,693 is 14268870.
Find LCM of 781,174,870,693 with Prime Factorization
2 | 781, 174, 870, 693 |
3 | 781, 87, 435, 693 |
11 | 781, 29, 145, 231 |
29 | 71, 29, 145, 21 |
71, 1, 5, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 71 x 1 x 5 x 21 = 14268870
Therefore, the lowest common multiple of 781,174,870,693 is 14268870.
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.
781 x 174 x 870 x 693 = 81931851540
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.
781 : 1, 11, 71, 781
174 : 1, 2, 3, 6, 29, 58, 87, 174
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,174,870,693, is 1.
Now, the common factors can be found like this.
781:11x 71
174:2x 3x 29
870:2x 3x 5x 29
693:3x 3x 7x 11
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 11x 29 = 5742
Therefore, the value for common factors is 5742.
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 = 81931851540/(1x5742)
LCM = 81931851540/5742
LCM = 14268870
Thus, we can understand that the LCM of 781,174,870,693 is 14268870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 174, 870, 693?
Answer: LCM of 781, 174, 870, 693 is 14268870.
2. How to calculate the LCM of 781, 174, 870, 693?
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 781, 174, 870, 693.
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}.