Find the LCM of 973, 432, 330, 817, 275 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 973, 432, 330, 817, 275. So, keep reading to learn more.
Given numbers are 973,432,330,817,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,432,330,817,275 is 94438990800.
Find LCM of 973,432,330,817,275 with Prime Factorization
2 | 973, 432, 330, 817, 275 |
3 | 973, 216, 165, 817, 275 |
5 | 973, 72, 55, 817, 275 |
11 | 973, 72, 11, 817, 55 |
973, 72, 1, 817, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 973 x 72 x 1 x 817 x 5 = 94438990800
Therefore, the lowest common multiple of 973,432,330,817,275 is 94438990800.
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.
973 x 432 x 330 x 817 x 275 = 31164866964000
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.
973 : 1, 7, 139, 973
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
817 : 1, 19, 43, 817
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,432,330,817,275, is 1.
Now, the common factors can be found like this.
973:7x 139
432:2x 2x 2x 2x 3x 3x 3
330:2x 3x 5x 11
817:19x 43
275:5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 31164866964000/(1x330)
LCM = 31164866964000/330
LCM = 94438990800
Thus, we can understand that the LCM of 973,432,330,817,275 is 94438990800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 432, 330, 817, 275?
Answer: LCM of 973, 432, 330, 817, 275 is 94438990800.
2. How to calculate the LCM of 973, 432, 330, 817, 275?
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 973, 432, 330, 817, 275.
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}.