Find the LCM of 406, 456, 978, 754, 162 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 406, 456, 978, 754, 162. So, keep reading to learn more.
Given numbers are 406,456,978,754,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,456,978,754,162 is 5296092984.
Find LCM of 406,456,978,754,162 with Prime Factorization
2 | 406, 456, 978, 754, 162 |
3 | 203, 228, 489, 377, 81 |
29 | 203, 76, 163, 377, 27 |
7, 76, 163, 13, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 7 x 76 x 163 x 13 x 27 = 5296092984
Therefore, the lowest common multiple of 406,456,978,754,162 is 5296092984.
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.
406 x 456 x 978 x 754 x 162 = 22116484301184
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
978 : 1, 2, 3, 6, 163, 326, 489, 978
754 : 1, 2, 13, 26, 29, 58, 377, 754
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,456,978,754,162, is 2.
Now, the common factors can be found like this.
406:2x 7x 29
456:2x 2x 2x 3x 19
978:2x 3x 163
754:2x 13x 29
162:2x 3x 3x 3x 3
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 29 = 2088
Therefore, the value for common factors is 2088.
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 = 22116484301184/(2x2088)
LCM = 22116484301184/4176
LCM = 5296092984
Thus, we can understand that the LCM of 406,456,978,754,162 is 5296092984.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 406, 456, 978, 754, 162?
Answer: LCM of 406, 456, 978, 754, 162 is 5296092984.
2. How to calculate the LCM of 406, 456, 978, 754, 162?
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 406, 456, 978, 754, 162.
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}.