Find the LCM of 460, 901, 978, 105 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 460, 901, 978, 105. So, keep reading to learn more.
Given numbers are 460,901,978,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,901,978,105 is 1418696580.
Find LCM of 460,901,978,105 with Prime Factorization
2 | 460, 901, 978, 105 |
3 | 230, 901, 489, 105 |
5 | 230, 901, 163, 35 |
46, 901, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 46 x 901 x 163 x 7 = 1418696580
Therefore, the lowest common multiple of 460,901,978,105 is 1418696580.
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.
460 x 901 x 978 x 105 = 42560897400
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
901 : 1, 17, 53, 901
978 : 1, 2, 3, 6, 163, 326, 489, 978
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,901,978,105, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
901:17x 53
978:2x 3x 163
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 42560897400/(1x30)
LCM = 42560897400/30
LCM = 1418696580
Thus, we can understand that the LCM of 460,901,978,105 is 1418696580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 901, 978, 105?
Answer: LCM of 460, 901, 978, 105 is 1418696580.
2. How to calculate the LCM of 460, 901, 978, 105?
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 460, 901, 978, 105.
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}.