Find the LCM of 492, 387, 697, 225 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 492, 387, 697, 225. So, keep reading to learn more.
Given numbers are 492,387,697,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,387,697,225 is 26973900.
Find LCM of 492,387,697,225 with Prime Factorization
3 | 492, 387, 697, 225 |
3 | 164, 129, 697, 75 |
41 | 164, 43, 697, 25 |
4, 43, 17, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 41 x 4 x 43 x 17 x 25 = 26973900
Therefore, the lowest common multiple of 492,387,697,225 is 26973900.
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.
492 x 387 x 697 x 225 = 29860107300
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
387 : 1, 3, 9, 43, 129, 387
697 : 1, 17, 41, 697
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,387,697,225, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
387:3x 3x 43
697:17x 41
225:3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 41 = 1107
Therefore, the value for common factors is 1107.
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 = 29860107300/(1x1107)
LCM = 29860107300/1107
LCM = 26973900
Thus, we can understand that the LCM of 492,387,697,225 is 26973900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 387, 697, 225?
Answer: LCM of 492, 387, 697, 225 is 26973900.
2. How to calculate the LCM of 492, 387, 697, 225?
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 492, 387, 697, 225.
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}.