LCM of 374, 232, 428, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 232, 428, 600 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 374, 232, 428, 600. So, keep reading to learn more.
Given numbers are 374,232,428,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,232,428,600 is 348156600.
Find LCM of 374,232,428,600 with Prime Factorization
| 2 | 374, 232, 428, 600 |
| 2 | 187, 116, 214, 300 |
| 2 | 187, 58, 107, 150 |
| 187, 29, 107, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 187 x 29 x 107 x 75 = 348156600
Therefore, the lowest common multiple of 374,232,428,600 is 348156600.
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.
374 x 232 x 428 x 600 = 22282022400
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
232 : 1, 2, 4, 8, 29, 58, 116, 232
428 : 1, 2, 4, 107, 214, 428
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,232,428,600, is 2.
Now, the common factors can be found like this.
374:2x 11x 17
232:2x 2x 2x 29
428:2x 2x 107
600:2x 2x 2x 3x 5x 5
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 2 = 32
Therefore, the value for common factors is 32.
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 = 22282022400/(2x32)
LCM = 22282022400/64
LCM = 348156600
Thus, we can understand that the LCM of 374,232,428,600 is 348156600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 374, 232, 428, 600
1. What is the LCM of 374, 232, 428, 600?
Answer: LCM of 374, 232, 428, 600 is 348156600.
2. How to calculate the LCM of 374, 232, 428, 600?
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 374, 232, 428, 600.
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}.