LCM of 406, 456, 800, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 456, 800, 893 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 406, 456, 800, 893. So, keep reading to learn more.
Given numbers are 406,456,800,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,456,800,893 is 435069600.
Find LCM of 406,456,800,893 with Prime Factorization
| 2 | 406, 456, 800, 893 |
| 2 | 203, 228, 400, 893 |
| 2 | 203, 114, 200, 893 |
| 19 | 203, 57, 100, 893 |
| 203, 3, 100, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 203 x 3 x 100 x 47 = 435069600
Therefore, the lowest common multiple of 406,456,800,893 is 435069600.
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.
406 x 456 x 800 x 893 = 132261158400
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,456,800,893, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
456:2x 2x 2x 3x 19
800:2x 2x 2x 2x 2x 5x 5
893:19x 47
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 19 = 304
Therefore, the value for common factors is 304.
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 = 132261158400/(1x304)
LCM = 132261158400/304
LCM = 435069600
Thus, we can understand that the LCM of 406,456,800,893 is 435069600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 406, 456, 800, 893
1. What is the LCM of 406, 456, 800, 893?
Answer: LCM of 406, 456, 800, 893 is 435069600.
2. How to calculate the LCM of 406, 456, 800, 893?
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 406, 456, 800, 893.
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}.