LCM of 374, 544, 372, 800, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 544, 372, 800, 154 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, 544, 372, 800, 154. So, keep reading to learn more.
Given numbers are 374,544,372,800,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,544,372,800,154 is 97389600.
Find LCM of 374,544,372,800,154 with Prime Factorization
| 2 | 374, 544, 372, 800, 154 |
| 2 | 187, 272, 186, 400, 77 |
| 2 | 187, 136, 93, 200, 77 |
| 2 | 187, 68, 93, 100, 77 |
| 2 | 187, 34, 93, 50, 77 |
| 11 | 187, 17, 93, 25, 77 |
| 17 | 17, 17, 93, 25, 7 |
| 1, 1, 93, 25, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 17 x 1 x 1 x 93 x 25 x 7 = 97389600
Therefore, the lowest common multiple of 374,544,372,800,154 is 97389600.
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 544 x 372 x 800 x 154 = 9324469862400
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
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
154 : 1, 2, 7, 11, 14, 22, 77, 154
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,544,372,800,154, is 2.
Now, the common factors can be found like this.
374:2x 11x 17
544:2x 2x 2x 2x 2x 17
372:2x 2x 3x 31
800:2x 2x 2x 2x 2x 5x 5
154:2x 7x 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 2x 2x 2x 2x 2x 2x 2x 11x 17 = 47872
Therefore, the value for common factors is 47872.
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 = 9324469862400/(2x47872)
LCM = 9324469862400/95744
LCM = 97389600
Thus, we can understand that the LCM of 374,544,372,800,154 is 97389600.
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FAQs on LCM of 374, 544, 372, 800, 154
1. What is the LCM of 374, 544, 372, 800, 154?
Answer: LCM of 374, 544, 372, 800, 154 is 97389600.
2. How to calculate the LCM of 374, 544, 372, 800, 154?
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, 544, 372, 800, 154.
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}.