Find the LCM of 972, 129, 561, 705, 493 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 972, 129, 561, 705, 493. So, keep reading to learn more.
Given numbers are 972,129,561,705,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,129,561,705,493 is 53265031380.
Find LCM of 972,129,561,705,493 with Prime Factorization
3 | 972, 129, 561, 705, 493 |
17 | 324, 43, 187, 235, 493 |
324, 43, 11, 235, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 324 x 43 x 11 x 235 x 29 = 53265031380
Therefore, the lowest common multiple of 972,129,561,705,493 is 53265031380.
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.
972 x 129 x 561 x 705 x 493 = 24448649403420
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
129 : 1, 3, 43, 129
561 : 1, 3, 11, 17, 33, 51, 187, 561
705 : 1, 3, 5, 15, 47, 141, 235, 705
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,129,561,705,493, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
129:3x 43
561:3x 11x 17
705:3x 5x 47
493:17x 29
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 17 = 459
Therefore, the value for common factors is 459.
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 = 24448649403420/(1x459)
LCM = 24448649403420/459
LCM = 53265031380
Thus, we can understand that the LCM of 972,129,561,705,493 is 53265031380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 129, 561, 705, 493?
Answer: LCM of 972, 129, 561, 705, 493 is 53265031380.
2. How to calculate the LCM of 972, 129, 561, 705, 493?
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 972, 129, 561, 705, 493.
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}.