Find the LCM of 822, 251, 442, 493, 680 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 822, 251, 442, 493, 680. So, keep reading to learn more.
Given numbers are 822,251,442,493,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,251,442,493,680 is 26446353960.
Find LCM of 822,251,442,493,680 with Prime Factorization
2 | 822, 251, 442, 493, 680 |
17 | 411, 251, 221, 493, 340 |
411, 251, 13, 29, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 411 x 251 x 13 x 29 x 20 = 26446353960
Therefore, the lowest common multiple of 822,251,442,493,680 is 26446353960.
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.
822 x 251 x 442 x 493 x 680 = 30571985177760
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
251 : 1, 251
442 : 1, 2, 13, 17, 26, 34, 221, 442
493 : 1, 17, 29, 493
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,251,442,493,680, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
251:251
442:2x 13x 17
493:17x 29
680:2x 2x 2x 5x 17
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 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 30571985177760/(1x1156)
LCM = 30571985177760/1156
LCM = 26446353960
Thus, we can understand that the LCM of 822,251,442,493,680 is 26446353960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 251, 442, 493, 680?
Answer: LCM of 822, 251, 442, 493, 680 is 26446353960.
2. How to calculate the LCM of 822, 251, 442, 493, 680?
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 822, 251, 442, 493, 680.
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}.