LCM of 162, 345, 690, 254, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 345, 690, 254, 776 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, 345, 690, 254, 776. So, keep reading to learn more.
Given numbers are 162,345,690,254,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,345,690,254,776 is 918011880.
Find LCM of 162,345,690,254,776 with Prime Factorization
| 2 | 162, 345, 690, 254, 776 |
| 3 | 81, 345, 345, 127, 388 |
| 5 | 27, 115, 115, 127, 388 |
| 23 | 27, 23, 23, 127, 388 |
| 27, 1, 1, 127, 388 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 27 x 1 x 1 x 127 x 388 = 918011880
Therefore, the lowest common multiple of 162,345,690,254,776 is 918011880.
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 345 x 690 x 254 x 776 = 7601138366400
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
254 : 1, 2, 127, 254
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,345,690,254,776, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
345:3x 5x 23
690:2x 3x 5x 23
254:2x 127
776:2x 2x 2x 97
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 5x 23 = 8280
Therefore, the value for common factors is 8280.
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 = 7601138366400/(1x8280)
LCM = 7601138366400/8280
LCM = 918011880
Thus, we can understand that the LCM of 162,345,690,254,776 is 918011880.
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FAQs on LCM of 162, 345, 690, 254, 776
1. What is the LCM of 162, 345, 690, 254, 776?
Answer: LCM of 162, 345, 690, 254, 776 is 918011880.
2. How to calculate the LCM of 162, 345, 690, 254, 776?
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, 345, 690, 254, 776.
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}.