LCM of 822, 176, 780, 477, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 176, 780, 477, 633 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, 176, 780, 477, 633. So, keep reading to learn more.
Given numbers are 822,176,780,477,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,176,780,477,633 is 157742030160.
Find LCM of 822,176,780,477,633 with Prime Factorization
| 2 | 822, 176, 780, 477, 633 |
| 2 | 411, 88, 390, 477, 633 |
| 3 | 411, 44, 195, 477, 633 |
| 137, 44, 65, 159, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 44 x 65 x 159 x 211 = 157742030160
Therefore, the lowest common multiple of 822,176,780,477,633 is 157742030160.
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 176 x 780 x 477 x 633 = 34072278514560
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
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
477 : 1, 3, 9, 53, 159, 477
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,176,780,477,633, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
176:2x 2x 2x 2x 11
780:2x 2x 3x 5x 13
477:3x 3x 53
633:3x 211
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 34072278514560/(1x216)
LCM = 34072278514560/216
LCM = 157742030160
Thus, we can understand that the LCM of 822,176,780,477,633 is 157742030160.
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FAQs on LCM of 822, 176, 780, 477, 633
1. What is the LCM of 822, 176, 780, 477, 633?
Answer: LCM of 822, 176, 780, 477, 633 is 157742030160.
2. How to calculate the LCM of 822, 176, 780, 477, 633?
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, 176, 780, 477, 633.
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}.