LCM of 220, 862, 143, 431, 453
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 862, 143, 431, 453 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, 862, 143, 431, 453. So, keep reading to learn more.
Given numbers are 220,862,143,431,453
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,862,143,431,453 is 558394980.
Find LCM of 220,862,143,431,453 with Prime Factorization
| 2 | 220, 862, 143, 431, 453 |
| 11 | 110, 431, 143, 431, 453 |
| 431 | 10, 431, 13, 431, 453 |
| 10, 1, 13, 1, 453 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 431 x 10 x 1 x 13 x 1 x 453 = 558394980
Therefore, the lowest common multiple of 220,862,143,431,453 is 558394980.
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 862 x 143 x 431 x 453 = 5294701200360
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
862 : 1, 2, 431, 862
143 : 1, 11, 13, 143
431 : 1, 431
453 : 1, 3, 151, 453
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,862,143,431,453, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
862:2x 431
143:11x 13
431:431
453:3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 431 = 9482
Therefore, the value for common factors is 9482.
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 = 5294701200360/(1x9482)
LCM = 5294701200360/9482
LCM = 558394980
Thus, we can understand that the LCM of 220,862,143,431,453 is 558394980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 220, 862, 143, 431, 453
1. What is the LCM of 220, 862, 143, 431, 453?
Answer: LCM of 220, 862, 143, 431, 453 is 558394980.
2. How to calculate the LCM of 220, 862, 143, 431, 453?
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, 862, 143, 431, 453.
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}.