LCM of 844, 977, 988, 822, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 977, 988, 822, 565 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 844, 977, 988, 822, 565. So, keep reading to learn more.
Given numbers are 844,977,988,822,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,977,988,822,565 is 47295980497740.
Find LCM of 844,977,988,822,565 with Prime Factorization
| 2 | 844, 977, 988, 822, 565 |
| 2 | 422, 977, 494, 411, 565 |
| 211, 977, 247, 411, 565 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 977 x 247 x 411 x 565 = 47295980497740
Therefore, the lowest common multiple of 844,977,988,822,565 is 47295980497740.
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.
844 x 977 x 988 x 822 x 565 = 378367843981920
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.
844 : 1, 2, 4, 211, 422, 844
977 : 1, 977
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
822 : 1, 2, 3, 6, 137, 274, 411, 822
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,977,988,822,565, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
977:977
988:2x 2x 13x 19
822:2x 3x 137
565:5x 113
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 2 = 8
Therefore, the value for common factors is 8.
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 = 378367843981920/(1x8)
LCM = 378367843981920/8
LCM = 47295980497740
Thus, we can understand that the LCM of 844,977,988,822,565 is 47295980497740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 977, 988, 822, 565
1. What is the LCM of 844, 977, 988, 822, 565?
Answer: LCM of 844, 977, 988, 822, 565 is 47295980497740.
2. How to calculate the LCM of 844, 977, 988, 822, 565?
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 844, 977, 988, 822, 565.
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}.