LCM of 162, 494, 714, 149, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 494, 714, 149, 522 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 162, 494, 714, 149, 522. So, keep reading to learn more.
Given numbers are 162,494,714,149,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,494,714,149,522 is 20575158786.
Find LCM of 162,494,714,149,522 with Prime Factorization
| 2 | 162, 494, 714, 149, 522 |
| 3 | 81, 247, 357, 149, 261 |
| 3 | 27, 247, 119, 149, 87 |
| 9, 247, 119, 149, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 9 x 247 x 119 x 149 x 29 = 20575158786
Therefore, the lowest common multiple of 162,494,714,149,522 is 20575158786.
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.
162 x 494 x 714 x 149 x 522 = 4444234297776
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
494 : 1, 2, 13, 19, 26, 38, 247, 494
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
149 : 1, 149
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,494,714,149,522, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
494:2x 13x 19
714:2x 3x 7x 17
149:149
522:2x 3x 3x 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 3 = 216
Therefore, the value for common factors is 216.
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 = 4444234297776/(1x216)
LCM = 4444234297776/216
LCM = 20575158786
Thus, we can understand that the LCM of 162,494,714,149,522 is 20575158786.
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FAQs on LCM of 162, 494, 714, 149, 522
1. What is the LCM of 162, 494, 714, 149, 522?
Answer: LCM of 162, 494, 714, 149, 522 is 20575158786.
2. How to calculate the LCM of 162, 494, 714, 149, 522?
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 162, 494, 714, 149, 522.
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}.