LCM of 201, 354, 461, 906, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 201, 354, 461, 906, 727 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 201, 354, 461, 906, 727. So, keep reading to learn more.
Given numbers are 201,354,461,906,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 201,354,461,906,727 is 1200301498446.
Find LCM of 201,354,461,906,727 with Prime Factorization
| 2 | 201, 354, 461, 906, 727 |
| 3 | 201, 177, 461, 453, 727 |
| 67, 59, 461, 151, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 59 x 461 x 151 x 727 = 1200301498446
Therefore, the lowest common multiple of 201,354,461,906,727 is 1200301498446.
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.
201 x 354 x 461 x 906 x 727 = 21605426972028
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.
201 : 1, 3, 67, 201
354 : 1, 2, 3, 6, 59, 118, 177, 354
461 : 1, 461
906 : 1, 2, 3, 6, 151, 302, 453, 906
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,354,461,906,727, is 1.
Now, the common factors can be found like this.
201:3x 67
354:2x 3x 59
461:461
906:2x 3x 151
727:727
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 21605426972028/(1x18)
LCM = 21605426972028/18
LCM = 1200301498446
Thus, we can understand that the LCM of 201,354,461,906,727 is 1200301498446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 201, 354, 461, 906, 727
1. What is the LCM of 201, 354, 461, 906, 727?
Answer: LCM of 201, 354, 461, 906, 727 is 1200301498446.
2. How to calculate the LCM of 201, 354, 461, 906, 727?
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 201, 354, 461, 906, 727.
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}.