LCM of 372, 408, 680, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 408, 680, 741 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 372, 408, 680, 741. So, keep reading to learn more.
Given numbers are 372,408,680,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,408,680,741 is 15620280.
Find LCM of 372,408,680,741 with Prime Factorization
| 2 | 372, 408, 680, 741 |
| 2 | 186, 204, 340, 741 |
| 2 | 93, 102, 170, 741 |
| 3 | 93, 51, 85, 741 |
| 17 | 31, 17, 85, 247 |
| 31, 1, 5, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 31 x 1 x 5 x 247 = 15620280
Therefore, the lowest common multiple of 372,408,680,741 is 15620280.
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.
372 x 408 x 680 x 741 = 76476890880
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,408,680,741, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
408:2x 2x 2x 3x 17
680:2x 2x 2x 5x 17
741:3x 13x 19
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 3x 3x 17 = 4896
Therefore, the value for common factors is 4896.
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 = 76476890880/(1x4896)
LCM = 76476890880/4896
LCM = 15620280
Thus, we can understand that the LCM of 372,408,680,741 is 15620280.
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FAQs on LCM of 372, 408, 680, 741
1. What is the LCM of 372, 408, 680, 741?
Answer: LCM of 372, 408, 680, 741 is 15620280.
2. How to calculate the LCM of 372, 408, 680, 741?
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 372, 408, 680, 741.
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}.