LCM of 416, 282, 737, 363, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 282, 737, 363, 737 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 416, 282, 737, 363, 737. So, keep reading to learn more.
Given numbers are 416,282,737,363,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,282,737,363,737 is 475524192.
Find LCM of 416,282,737,363,737 with Prime Factorization
| 2 | 416, 282, 737, 363, 737 |
| 3 | 208, 141, 737, 363, 737 |
| 11 | 208, 47, 737, 121, 737 |
| 67 | 208, 47, 67, 11, 67 |
| 208, 47, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 67 x 208 x 47 x 1 x 11 x 1 = 475524192
Therefore, the lowest common multiple of 416,282,737,363,737 is 475524192.
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.
416 x 282 x 737 x 363 x 737 = 23130447747264
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
282 : 1, 2, 3, 6, 47, 94, 141, 282
737 : 1, 11, 67, 737
363 : 1, 3, 11, 33, 121, 363
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,282,737,363,737, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
282:2x 3x 47
737:11x 67
363:3x 11x 11
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11x 67 = 48642
Therefore, the value for common factors is 48642.
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 = 23130447747264/(1x48642)
LCM = 23130447747264/48642
LCM = 475524192
Thus, we can understand that the LCM of 416,282,737,363,737 is 475524192.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 416, 282, 737, 363, 737
1. What is the LCM of 416, 282, 737, 363, 737?
Answer: LCM of 416, 282, 737, 363, 737 is 475524192.
2. How to calculate the LCM of 416, 282, 737, 363, 737?
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 416, 282, 737, 363, 737.
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}.