LCM of 974, 351, 216, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 351, 216, 975 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 974, 351, 216, 975. So, keep reading to learn more.
Given numbers are 974,351,216,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,351,216,975 is 34187400.
Find LCM of 974,351,216,975 with Prime Factorization
| 2 | 974, 351, 216, 975 |
| 3 | 487, 351, 108, 975 |
| 3 | 487, 117, 36, 325 |
| 3 | 487, 39, 12, 325 |
| 13 | 487, 13, 4, 325 |
| 487, 1, 4, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 487 x 1 x 4 x 25 = 34187400
Therefore, the lowest common multiple of 974,351,216,975 is 34187400.
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.
974 x 351 x 216 x 975 = 71998664400
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.
974 : 1, 2, 487, 974
351 : 1, 3, 9, 13, 27, 39, 117, 351
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,351,216,975, is 1.
Now, the common factors can be found like this.
974:2x 487
351:3x 3x 3x 13
216:2x 2x 2x 3x 3x 3
975:3x 5x 5x 13
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 3x 3x 3x 13 = 2106
Therefore, the value for common factors is 2106.
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 = 71998664400/(1x2106)
LCM = 71998664400/2106
LCM = 34187400
Thus, we can understand that the LCM of 974,351,216,975 is 34187400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 974, 351, 216, 975
1. What is the LCM of 974, 351, 216, 975?
Answer: LCM of 974, 351, 216, 975 is 34187400.
2. How to calculate the LCM of 974, 351, 216, 975?
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 974, 351, 216, 975.
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}.