Find the LCM of 957, 681, 493, 432 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 957, 681, 493, 432. So, keep reading to learn more.
Given numbers are 957,681,493,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,681,493,432 is 531801072.
Find LCM of 957,681,493,432 with Prime Factorization
3 | 957, 681, 493, 432 |
29 | 319, 227, 493, 144 |
11, 227, 17, 144 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 11 x 227 x 17 x 144 = 531801072
Therefore, the lowest common multiple of 957,681,493,432 is 531801072.
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.
957 x 681 x 493 x 432 = 138800079792
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
681 : 1, 3, 227, 681
493 : 1, 17, 29, 493
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,681,493,432, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
681:3x 227
493:17x 29
432:2x 2x 2x 2x 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.
3x 3x 29 = 261
Therefore, the value for common factors is 261.
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 = 138800079792/(1x261)
LCM = 138800079792/261
LCM = 531801072
Thus, we can understand that the LCM of 957,681,493,432 is 531801072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 681, 493, 432?
Answer: LCM of 957, 681, 493, 432 is 531801072.
2. How to calculate the LCM of 957, 681, 493, 432?
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 957, 681, 493, 432.
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}.