LCM of 281, 567, 818, 618, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 567, 818, 618, 162 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, 567, 818, 618, 162. So, keep reading to learn more.
Given numbers are 281,567,818,618,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,567,818,618,162 is 13423937058.
Find LCM of 281,567,818,618,162 with Prime Factorization
| 2 | 281, 567, 818, 618, 162 |
| 3 | 281, 567, 409, 309, 81 |
| 3 | 281, 189, 409, 103, 27 |
| 3 | 281, 63, 409, 103, 9 |
| 3 | 281, 21, 409, 103, 3 |
| 281, 7, 409, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 281 x 7 x 409 x 103 x 1 = 13423937058
Therefore, the lowest common multiple of 281,567,818,618,162 is 13423937058.
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 567 x 818 x 618 x 162 = 13048066820376
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
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
818 : 1, 2, 409, 818
618 : 1, 2, 3, 6, 103, 206, 309, 618
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,567,818,618,162, is 1.
Now, the common factors can be found like this.
281:281
567:3x 3x 3x 3x 7
818:2x 409
618:2x 3x 103
162:2x 3x 3x 3x 3
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 3x 3x 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 13048066820376/(1x972)
LCM = 13048066820376/972
LCM = 13423937058
Thus, we can understand that the LCM of 281,567,818,618,162 is 13423937058.
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FAQs on LCM of 281, 567, 818, 618, 162
1. What is the LCM of 281, 567, 818, 618, 162?
Answer: LCM of 281, 567, 818, 618, 162 is 13423937058.
2. How to calculate the LCM of 281, 567, 818, 618, 162?
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, 567, 818, 618, 162.
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}.