Find the LCM of 814, 533, 826, 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 814, 533, 826, 708. So, keep reading to learn more.
Given numbers are 814,533,826,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,533,826,708 is 1075110036.
Find LCM of 814,533,826,708 with Prime Factorization
2 | 814, 533, 826, 708 |
59 | 407, 533, 413, 354 |
407, 533, 7, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 407 x 533 x 7 x 6 = 1075110036
Therefore, the lowest common multiple of 814,533,826,708 is 1075110036.
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.
814 x 533 x 826 x 708 = 253725968496
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
533 : 1, 13, 41, 533
826 : 1, 2, 7, 14, 59, 118, 413, 826
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 814,533,826,708, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
533:13x 41
826:2x 7x 59
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 2x 59 = 236
Therefore, the value for common factors is 236.
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 = 253725968496/(1x236)
LCM = 253725968496/236
LCM = 1075110036
Thus, we can understand that the LCM of 814,533,826,708 is 1075110036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 533, 826, 708?
Answer: LCM of 814, 533, 826, 708 is 1075110036.
2. How to calculate the LCM of 814, 533, 826, 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 814, 533, 826, 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}.