LCM of 822, 973, 790, 864, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 973, 790, 864, 548 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, 973, 790, 864, 548. So, keep reading to learn more.
Given numbers are 822,973,790,864,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,973,790,864,548 is 45492965280.
Find LCM of 822,973,790,864,548 with Prime Factorization
| 2 | 822, 973, 790, 864, 548 |
| 2 | 411, 973, 395, 432, 274 |
| 3 | 411, 973, 395, 216, 137 |
| 137 | 137, 973, 395, 72, 137 |
| 1, 973, 395, 72, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 1 x 973 x 395 x 72 x 1 = 45492965280
Therefore, the lowest common multiple of 822,973,790,864,548 is 45492965280.
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 973 x 790 x 864 x 548 = 299161739681280
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
973 : 1, 7, 139, 973
790 : 1, 2, 5, 10, 79, 158, 395, 790
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,973,790,864,548, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
973:7x 139
790:2x 5x 79
864:2x 2x 2x 2x 2x 3x 3x 3
548:2x 2x 137
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 137 = 6576
Therefore, the value for common factors is 6576.
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 = 299161739681280/(1x6576)
LCM = 299161739681280/6576
LCM = 45492965280
Thus, we can understand that the LCM of 822,973,790,864,548 is 45492965280.
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FAQs on LCM of 822, 973, 790, 864, 548
1. What is the LCM of 822, 973, 790, 864, 548?
Answer: LCM of 822, 973, 790, 864, 548 is 45492965280.
2. How to calculate the LCM of 822, 973, 790, 864, 548?
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, 973, 790, 864, 548.
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}.