LCM of 370, 185, 414, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 185, 414, 616 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 370, 185, 414, 616. So, keep reading to learn more.
Given numbers are 370,185,414,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,185,414,616 is 23589720.
Find LCM of 370,185,414,616 with Prime Factorization
| 2 | 370, 185, 414, 616 |
| 5 | 185, 185, 207, 308 |
| 37 | 37, 37, 207, 308 |
| 1, 1, 207, 308 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 37 x 1 x 1 x 207 x 308 = 23589720
Therefore, the lowest common multiple of 370,185,414,616 is 23589720.
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.
370 x 185 x 414 x 616 = 17456392800
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
185 : 1, 5, 37, 185
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,185,414,616, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
185:5x 37
414:2x 3x 3x 23
616:2x 2x 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 5x 37 = 740
Therefore, the value for common factors is 740.
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 = 17456392800/(1x740)
LCM = 17456392800/740
LCM = 23589720
Thus, we can understand that the LCM of 370,185,414,616 is 23589720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 370, 185, 414, 616
1. What is the LCM of 370, 185, 414, 616?
Answer: LCM of 370, 185, 414, 616 is 23589720.
2. How to calculate the LCM of 370, 185, 414, 616?
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 370, 185, 414, 616.
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}.