LCM of 220, 132, 814, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 132, 814, 407 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 220, 132, 814, 407. So, keep reading to learn more.
Given numbers are 220,132,814,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,132,814,407 is 24420.
Find LCM of 220,132,814,407 with Prime Factorization
| 2 | 220, 132, 814, 407 |
| 2 | 110, 66, 407, 407 |
| 11 | 55, 33, 407, 407 |
| 37 | 5, 3, 37, 37 |
| 5, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 5 x 3 x 1 x 1 = 24420
Therefore, the lowest common multiple of 220,132,814,407 is 24420.
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.
220 x 132 x 814 x 407 = 9620893920
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
814 : 1, 2, 11, 22, 37, 74, 407, 814
407 : 1, 11, 37, 407
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,132,814,407, is 11.
Now, the common factors can be found like this.
220:2x 2x 5x 11
132:2x 2x 3x 11
814:2x 11x 37
407:11x 37
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 11x 37 = 35816
Therefore, the value for common factors is 35816.
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 = 9620893920/(11x35816)
LCM = 9620893920/393976
LCM = 24420
Thus, we can understand that the LCM of 220,132,814,407 is 24420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 220, 132, 814, 407
1. What is the LCM of 220, 132, 814, 407?
Answer: LCM of 220, 132, 814, 407 is 24420.
2. How to calculate the LCM of 220, 132, 814, 407?
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 220, 132, 814, 407.
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}.