LCM of 281, 572, 150, 408, 186
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 572, 150, 408, 186 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 281, 572, 150, 408, 186. So, keep reading to learn more.
Given numbers are 281,572,150,408,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,572,150,408,186 is 12705864600.
Find LCM of 281,572,150,408,186 with Prime Factorization
| 2 | 281, 572, 150, 408, 186 |
| 2 | 281, 286, 75, 204, 93 |
| 3 | 281, 143, 75, 102, 93 |
| 281, 143, 25, 34, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 281 x 143 x 25 x 34 x 31 = 12705864600
Therefore, the lowest common multiple of 281,572,150,408,186 is 12705864600.
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.
281 x 572 x 150 x 408 x 186 = 1829644502400
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.
281 : 1, 281
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,572,150,408,186, is 1.
Now, the common factors can be found like this.
281:281
572:2x 2x 11x 13
150:2x 3x 5x 5
408:2x 2x 2x 3x 17
186:2x 3x 31
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 1829644502400/(1x144)
LCM = 1829644502400/144
LCM = 12705864600
Thus, we can understand that the LCM of 281,572,150,408,186 is 12705864600.
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FAQs on LCM of 281, 572, 150, 408, 186
1. What is the LCM of 281, 572, 150, 408, 186?
Answer: LCM of 281, 572, 150, 408, 186 is 12705864600.
2. How to calculate the LCM of 281, 572, 150, 408, 186?
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 281, 572, 150, 408, 186.
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}.