Find the LCM of 781, 943, 426, 616 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, 943, 426, 616. So, keep reading to learn more.
Given numbers are 781,943,426,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,943,426,616 is 123729144.
Find LCM of 781,943,426,616 with Prime Factorization
2 | 781, 943, 426, 616 |
11 | 781, 943, 213, 308 |
71 | 71, 943, 213, 28 |
1, 943, 3, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 1 x 943 x 3 x 28 = 123729144
Therefore, the lowest common multiple of 781,943,426,616 is 123729144.
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 943 x 426 x 616 = 193264922928
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
943 : 1, 23, 41, 943
426 : 1, 2, 3, 6, 71, 142, 213, 426
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,943,426,616, is 1.
Now, the common factors can be found like this.
781:11x 71
943:23x 41
426:2x 3x 71
616:2x 2x 2x 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 11x 71 = 1562
Therefore, the value for common factors is 1562.
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 = 193264922928/(1x1562)
LCM = 193264922928/1562
LCM = 123729144
Thus, we can understand that the LCM of 781,943,426,616 is 123729144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 943, 426, 616?
Answer: LCM of 781, 943, 426, 616 is 123729144.
2. How to calculate the LCM of 781, 943, 426, 616?
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, 943, 426, 616.
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}.