LCM of 421, 844, 822, 810, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 844, 822, 810, 318 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 421, 844, 822, 810, 318. So, keep reading to learn more.
Given numbers are 421,844,822,810,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,844,822,810,318 is 1044903063420.
Find LCM of 421,844,822,810,318 with Prime Factorization
| 2 | 421, 844, 822, 810, 318 |
| 3 | 421, 422, 411, 405, 159 |
| 421, 422, 137, 135, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 421 x 422 x 137 x 135 x 53 = 1044903063420
Therefore, the lowest common multiple of 421,844,822,810,318 is 1044903063420.
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.
421 x 844 x 822 x 810 x 318 = 75233020566240
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.
421 : 1, 421
844 : 1, 2, 4, 211, 422, 844
822 : 1, 2, 3, 6, 137, 274, 411, 822
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,844,822,810,318, is 1.
Now, the common factors can be found like this.
421:421
844:2x 2x 211
822:2x 3x 137
810:2x 3x 3x 3x 3x 5
318:2x 3x 53
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 3 = 72
Therefore, the value for common factors is 72.
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 = 75233020566240/(1x72)
LCM = 75233020566240/72
LCM = 1044903063420
Thus, we can understand that the LCM of 421,844,822,810,318 is 1044903063420.
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FAQs on LCM of 421, 844, 822, 810, 318
1. What is the LCM of 421, 844, 822, 810, 318?
Answer: LCM of 421, 844, 822, 810, 318 is 1044903063420.
2. How to calculate the LCM of 421, 844, 822, 810, 318?
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 421, 844, 822, 810, 318.
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}.