LCM of 495, 468, 916, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 468, 916, 290 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, 468, 916, 290. So, keep reading to learn more.
Given numbers are 495,468,916,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,468,916,290 is 170939340.
Find LCM of 495,468,916,290 with Prime Factorization
| 2 | 495, 468, 916, 290 |
| 2 | 495, 234, 458, 145 |
| 3 | 495, 117, 229, 145 |
| 3 | 165, 39, 229, 145 |
| 5 | 55, 13, 229, 145 |
| 11, 13, 229, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 13 x 229 x 29 = 170939340
Therefore, the lowest common multiple of 495,468,916,290 is 170939340.
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 468 x 916 x 290 = 61538162400
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
916 : 1, 2, 4, 229, 458, 916
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,468,916,290, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
468:2x 2x 3x 3x 13
916:2x 2x 229
290:2x 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 2x 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 61538162400/(1x360)
LCM = 61538162400/360
LCM = 170939340
Thus, we can understand that the LCM of 495,468,916,290 is 170939340.
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FAQs on LCM of 495, 468, 916, 290
1. What is the LCM of 495, 468, 916, 290?
Answer: LCM of 495, 468, 916, 290 is 170939340.
2. How to calculate the LCM of 495, 468, 916, 290?
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, 468, 916, 290.
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}.