Find the LCM of 814, 749, 465, 735 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 814, 749, 465, 735. So, keep reading to learn more.
Given numbers are 814,749,465,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,749,465,735 is 1984527930.
Find LCM of 814,749,465,735 with Prime Factorization
3 | 814, 749, 465, 735 |
5 | 814, 749, 155, 245 |
7 | 814, 749, 31, 49 |
814, 107, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 814 x 107 x 31 x 7 = 1984527930
Therefore, the lowest common multiple of 814,749,465,735 is 1984527930.
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.
814 x 749 x 465 x 735 = 208375432650
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
749 : 1, 7, 107, 749
465 : 1, 3, 5, 15, 31, 93, 155, 465
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,749,465,735, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
749:7x 107
465:3x 5x 31
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 208375432650/(1x105)
LCM = 208375432650/105
LCM = 1984527930
Thus, we can understand that the LCM of 814,749,465,735 is 1984527930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 749, 465, 735?
Answer: LCM of 814, 749, 465, 735 is 1984527930.
2. How to calculate the LCM of 814, 749, 465, 735?
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 814, 749, 465, 735.
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}.