LCM of 462, 808, 961, 738, 157
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 808, 961, 738, 157 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 462, 808, 961, 738, 157. So, keep reading to learn more.
Given numbers are 462,808,961,738,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,808,961,738,157 is 3463789506408.
Find LCM of 462,808,961,738,157 with Prime Factorization
| 2 | 462, 808, 961, 738, 157 |
| 3 | 231, 404, 961, 369, 157 |
| 77, 404, 961, 123, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 77 x 404 x 961 x 123 x 157 = 3463789506408
Therefore, the lowest common multiple of 462,808,961,738,157 is 3463789506408.
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.
462 x 808 x 961 x 738 x 157 = 41565474076896
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
808 : 1, 2, 4, 8, 101, 202, 404, 808
961 : 1, 31, 961
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,808,961,738,157, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
808:2x 2x 2x 101
961:31x 31
738:2x 3x 3x 41
157:157
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 3 = 12
Therefore, the value for common factors is 12.
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 = 41565474076896/(1x12)
LCM = 41565474076896/12
LCM = 3463789506408
Thus, we can understand that the LCM of 462,808,961,738,157 is 3463789506408.
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FAQs on LCM of 462, 808, 961, 738, 157
1. What is the LCM of 462, 808, 961, 738, 157?
Answer: LCM of 462, 808, 961, 738, 157 is 3463789506408.
2. How to calculate the LCM of 462, 808, 961, 738, 157?
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 462, 808, 961, 738, 157.
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}.