LCM of 822, 828, 735, 772, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 828, 735, 772, 784 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, 828, 735, 772, 784. So, keep reading to learn more.
Given numbers are 822,828,735,772,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,828,735,772,784 is 21455285040.
Find LCM of 822,828,735,772,784 with Prime Factorization
| 2 | 822, 828, 735, 772, 784 |
| 2 | 411, 414, 735, 386, 392 |
| 3 | 411, 207, 735, 193, 196 |
| 7 | 137, 69, 245, 193, 196 |
| 7 | 137, 69, 35, 193, 28 |
| 137, 69, 5, 193, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 137 x 69 x 5 x 193 x 4 = 21455285040
Therefore, the lowest common multiple of 822,828,735,772,784 is 21455285040.
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 828 x 735 x 772 x 784 = 302776982484480
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
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
772 : 1, 2, 4, 193, 386, 772
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,828,735,772,784, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
828:2x 2x 3x 3x 23
735:3x 5x 7x 7
772:2x 2x 193
784:2x 2x 2x 2x 7x 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 2x 3x 3x 7x 7 = 14112
Therefore, the value for common factors is 14112.
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 = 302776982484480/(1x14112)
LCM = 302776982484480/14112
LCM = 21455285040
Thus, we can understand that the LCM of 822,828,735,772,784 is 21455285040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 828, 735, 772, 784
1. What is the LCM of 822, 828, 735, 772, 784?
Answer: LCM of 822, 828, 735, 772, 784 is 21455285040.
2. How to calculate the LCM of 822, 828, 735, 772, 784?
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, 828, 735, 772, 784.
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}.