LCM of 254, 221, 364, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 221, 364, 731 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 254, 221, 364, 731. So, keep reading to learn more.
Given numbers are 254,221,364,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,221,364,731 is 33792668.
Find LCM of 254,221,364,731 with Prime Factorization
| 2 | 254, 221, 364, 731 |
| 13 | 127, 221, 182, 731 |
| 17 | 127, 17, 14, 731 |
| 127, 1, 14, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 127 x 1 x 14 x 43 = 33792668
Therefore, the lowest common multiple of 254,221,364,731 is 33792668.
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.
254 x 221 x 364 x 731 = 14936359256
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.
254 : 1, 2, 127, 254
221 : 1, 13, 17, 221
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,221,364,731, is 1.
Now, the common factors can be found like this.
254:2x 127
221:13x 17
364:2x 2x 7x 13
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 14936359256/(1x442)
LCM = 14936359256/442
LCM = 33792668
Thus, we can understand that the LCM of 254,221,364,731 is 33792668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 221, 364, 731
1. What is the LCM of 254, 221, 364, 731?
Answer: LCM of 254, 221, 364, 731 is 33792668.
2. How to calculate the LCM of 254, 221, 364, 731?
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 254, 221, 364, 731.
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}.