LCM of 560, 428, 822, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 428, 822, 756 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 560, 428, 822, 756. So, keep reading to learn more.
Given numbers are 560,428,822,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,428,822,756 is 221644080.
Find LCM of 560,428,822,756 with Prime Factorization
| 2 | 560, 428, 822, 756 |
| 2 | 280, 214, 411, 378 |
| 3 | 140, 107, 411, 189 |
| 7 | 140, 107, 137, 63 |
| 20, 107, 137, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 20 x 107 x 137 x 9 = 221644080
Therefore, the lowest common multiple of 560,428,822,756 is 221644080.
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.
560 x 428 x 822 x 756 = 148944821760
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
428 : 1, 2, 4, 107, 214, 428
822 : 1, 2, 3, 6, 137, 274, 411, 822
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,428,822,756, is 2.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
428:2x 2x 107
822:2x 3x 137
756:2x 2x 3x 3x 3x 7
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 2x 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 148944821760/(2x336)
LCM = 148944821760/672
LCM = 221644080
Thus, we can understand that the LCM of 560,428,822,756 is 221644080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 560, 428, 822, 756
1. What is the LCM of 560, 428, 822, 756?
Answer: LCM of 560, 428, 822, 756 is 221644080.
2. How to calculate the LCM of 560, 428, 822, 756?
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 560, 428, 822, 756.
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}.