LCM of 811, 132, 638, 457, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 132, 638, 457, 440 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 811, 132, 638, 457, 440. So, keep reading to learn more.
Given numbers are 811,132,638,457,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,132,638,457,440 is 14187601560.
Find LCM of 811,132,638,457,440 with Prime Factorization
| 2 | 811, 132, 638, 457, 440 |
| 2 | 811, 66, 319, 457, 220 |
| 11 | 811, 33, 319, 457, 110 |
| 811, 3, 29, 457, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 811 x 3 x 29 x 457 x 10 = 14187601560
Therefore, the lowest common multiple of 811,132,638,457,440 is 14187601560.
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.
811 x 132 x 638 x 457 x 440 = 13733598310080
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.
811 : 1, 811
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
638 : 1, 2, 11, 22, 29, 58, 319, 638
457 : 1, 457
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,132,638,457,440, is 1.
Now, the common factors can be found like this.
811:811
132:2x 2x 3x 11
638:2x 11x 29
457:457
440:2x 2x 2x 5x 11
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 13733598310080/(1x968)
LCM = 13733598310080/968
LCM = 14187601560
Thus, we can understand that the LCM of 811,132,638,457,440 is 14187601560.
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FAQs on LCM of 811, 132, 638, 457, 440
1. What is the LCM of 811, 132, 638, 457, 440?
Answer: LCM of 811, 132, 638, 457, 440 is 14187601560.
2. How to calculate the LCM of 811, 132, 638, 457, 440?
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 811, 132, 638, 457, 440.
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}.