LCM of 169, 462, 605, 412, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 462, 605, 412, 445 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 169, 462, 605, 412, 445. So, keep reading to learn more.
Given numbers are 169,462,605,412,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,462,605,412,445 is 78731512860.
Find LCM of 169,462,605,412,445 with Prime Factorization
| 2 | 169, 462, 605, 412, 445 |
| 5 | 169, 231, 605, 206, 445 |
| 11 | 169, 231, 121, 206, 89 |
| 169, 21, 11, 206, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 169 x 21 x 11 x 206 x 89 = 78731512860
Therefore, the lowest common multiple of 169,462,605,412,445 is 78731512860.
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.
169 x 462 x 605 x 412 x 445 = 8660466414600
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.
169 : 1, 13, 169
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
605 : 1, 5, 11, 55, 121, 605
412 : 1, 2, 4, 103, 206, 412
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,462,605,412,445, is 1.
Now, the common factors can be found like this.
169:13x 13
462:2x 3x 7x 11
605:5x 11x 11
412:2x 2x 103
445:5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 8660466414600/(1x110)
LCM = 8660466414600/110
LCM = 78731512860
Thus, we can understand that the LCM of 169,462,605,412,445 is 78731512860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 462, 605, 412, 445
1. What is the LCM of 169, 462, 605, 412, 445?
Answer: LCM of 169, 462, 605, 412, 445 is 78731512860.
2. How to calculate the LCM of 169, 462, 605, 412, 445?
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 169, 462, 605, 412, 445.
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}.