LCM of 200, 974, 374, 374, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 974, 374, 374, 768 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 200, 974, 374, 374, 768. So, keep reading to learn more.
Given numbers are 200,974,374,374,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,974,374,374,768 is 1748524800.
Find LCM of 200,974,374,374,768 with Prime Factorization
| 2 | 200, 974, 374, 374, 768 |
| 2 | 100, 487, 187, 187, 384 |
| 2 | 50, 487, 187, 187, 192 |
| 11 | 25, 487, 187, 187, 96 |
| 17 | 25, 487, 17, 17, 96 |
| 25, 487, 1, 1, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 17 x 25 x 487 x 1 x 1 x 96 = 1748524800
Therefore, the lowest common multiple of 200,974,374,374,768 is 1748524800.
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.
200 x 974 x 374 x 374 x 768 = 20926344806400
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
974 : 1, 2, 487, 974
374 : 1, 2, 11, 17, 22, 34, 187, 374
374 : 1, 2, 11, 17, 22, 34, 187, 374
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,974,374,374,768, is 2.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
974:2x 487
374:2x 11x 17
374:2x 11x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 11x 17 = 5984
Therefore, the value for common factors is 5984.
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 = 20926344806400/(2x5984)
LCM = 20926344806400/11968
LCM = 1748524800
Thus, we can understand that the LCM of 200,974,374,374,768 is 1748524800.
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FAQs on LCM of 200, 974, 374, 374, 768
1. What is the LCM of 200, 974, 374, 374, 768?
Answer: LCM of 200, 974, 374, 374, 768 is 1748524800.
2. How to calculate the LCM of 200, 974, 374, 374, 768?
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 200, 974, 374, 374, 768.
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}.