Find the LCM of 735, 525, 678 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 735, 525, 678. So, keep reading to learn more.
Given numbers are 735,525,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,525,678 is 830550.
Find LCM of 735,525,678 with Prime Factorization
3 | 735, 525, 678 |
5 | 245, 175, 226 |
7 | 49, 35, 226 |
7, 5, 226 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 7 x 5 x 226 = 830550
Therefore, the lowest common multiple of 735,525,678 is 830550.
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.
735 x 525 x 678 = 261623250
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
678 : 1, 2, 3, 6, 113, 226, 339, 678
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,525,678, is 3.
Now, the common factors can be found like this.
735:3x 5x 7x 7
525:3x 5x 5x 7
678:2x 3x 113
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 = 261623250/(3x105)
LCM = 261623250/315
LCM = 830550
Thus, we can understand that the LCM of 735,525,678 is 830550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 525, 678?
Answer: LCM of 735, 525, 678 is 830550.
2. How to calculate the LCM of 735, 525, 678?
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 735, 525, 678.
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}.