LCM of 645, 621, 224, 529, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 621, 224, 529, 854 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 645, 621, 224, 529, 854. So, keep reading to learn more.
Given numbers are 645,621,224,529,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,621,224,529,854 is 41960026080.
Find LCM of 645,621,224,529,854 with Prime Factorization
| 2 | 645, 621, 224, 529, 854 |
| 3 | 645, 621, 112, 529, 427 |
| 7 | 215, 207, 112, 529, 427 |
| 23 | 215, 207, 16, 529, 61 |
| 215, 9, 16, 23, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 215 x 9 x 16 x 23 x 61 = 41960026080
Therefore, the lowest common multiple of 645,621,224,529,854 is 41960026080.
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.
645 x 621 x 224 x 529 x 854 = 40533385193280
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
621 : 1, 3, 9, 23, 27, 69, 207, 621
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
529 : 1, 23, 529
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,621,224,529,854, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
621:3x 3x 3x 23
224:2x 2x 2x 2x 2x 7
529:23x 23
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 23 = 966
Therefore, the value for common factors is 966.
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 = 40533385193280/(1x966)
LCM = 40533385193280/966
LCM = 41960026080
Thus, we can understand that the LCM of 645,621,224,529,854 is 41960026080.
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FAQs on LCM of 645, 621, 224, 529, 854
1. What is the LCM of 645, 621, 224, 529, 854?
Answer: LCM of 645, 621, 224, 529, 854 is 41960026080.
2. How to calculate the LCM of 645, 621, 224, 529, 854?
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 645, 621, 224, 529, 854.
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}.