LCM of 495, 418, 890, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 418, 890, 145 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 495, 418, 890, 145. So, keep reading to learn more.
Given numbers are 495,418,890,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,418,890,145 is 48548610.
Find LCM of 495,418,890,145 with Prime Factorization
| 2 | 495, 418, 890, 145 |
| 5 | 495, 209, 445, 145 |
| 11 | 99, 209, 89, 29 |
| 9, 19, 89, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 9 x 19 x 89 x 29 = 48548610
Therefore, the lowest common multiple of 495,418,890,145 is 48548610.
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.
495 x 418 x 890 x 145 = 26701735500
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
418 : 1, 2, 11, 19, 22, 38, 209, 418
890 : 1, 2, 5, 10, 89, 178, 445, 890
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,418,890,145, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
418:2x 11x 19
890:2x 5x 89
145:5x 29
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 5x 11 = 550
Therefore, the value for common factors is 550.
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 = 26701735500/(1x550)
LCM = 26701735500/550
LCM = 48548610
Thus, we can understand that the LCM of 495,418,890,145 is 48548610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 495, 418, 890, 145
1. What is the LCM of 495, 418, 890, 145?
Answer: LCM of 495, 418, 890, 145 is 48548610.
2. How to calculate the LCM of 495, 418, 890, 145?
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 495, 418, 890, 145.
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}.