LCM of 463, 893, 144, 897, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 893, 144, 897, 628 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 463, 893, 144, 897, 628. So, keep reading to learn more.
Given numbers are 463,893,144,897,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,893,144,897,628 is 2794896840528.
Find LCM of 463,893,144,897,628 with Prime Factorization
| 2 | 463, 893, 144, 897, 628 |
| 2 | 463, 893, 72, 897, 314 |
| 3 | 463, 893, 36, 897, 157 |
| 463, 893, 12, 299, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 463 x 893 x 12 x 299 x 157 = 2794896840528
Therefore, the lowest common multiple of 463,893,144,897,628 is 2794896840528.
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.
463 x 893 x 144 x 897 x 628 = 33538762086336
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.
463 : 1, 463
893 : 1, 19, 47, 893
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
897 : 1, 3, 13, 23, 39, 69, 299, 897
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,893,144,897,628, is 1.
Now, the common factors can be found like this.
463:463
893:19x 47
144:2x 2x 2x 2x 3x 3
897:3x 13x 23
628:2x 2x 157
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 3 = 12
Therefore, the value for common factors is 12.
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 = 33538762086336/(1x12)
LCM = 33538762086336/12
LCM = 2794896840528
Thus, we can understand that the LCM of 463,893,144,897,628 is 2794896840528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 893, 144, 897, 628
1. What is the LCM of 463, 893, 144, 897, 628?
Answer: LCM of 463, 893, 144, 897, 628 is 2794896840528.
2. How to calculate the LCM of 463, 893, 144, 897, 628?
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 463, 893, 144, 897, 628.
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}.