LCM of 232, 977, 378, 336, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 977, 378, 336, 280 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 232, 977, 378, 336, 280. So, keep reading to learn more.
Given numbers are 232,977,378,336,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,977,378,336,280 is 428394960.
Find LCM of 232,977,378,336,280 with Prime Factorization
| 2 | 232, 977, 378, 336, 280 |
| 2 | 116, 977, 189, 168, 140 |
| 2 | 58, 977, 189, 84, 70 |
| 3 | 29, 977, 189, 42, 35 |
| 7 | 29, 977, 63, 14, 35 |
| 29, 977, 9, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 977 x 9 x 2 x 5 = 428394960
Therefore, the lowest common multiple of 232,977,378,336,280 is 428394960.
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.
232 x 977 x 378 x 336 x 280 = 8060679567360
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
977 : 1, 977
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,977,378,336,280, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
977:977
378:2x 3x 3x 3x 7
336:2x 2x 2x 2x 3x 7
280:2x 2x 2x 5x 7
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 3x 7x 7 = 18816
Therefore, the value for common factors is 18816.
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 = 8060679567360/(1x18816)
LCM = 8060679567360/18816
LCM = 428394960
Thus, we can understand that the LCM of 232,977,378,336,280 is 428394960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 232, 977, 378, 336, 280
1. What is the LCM of 232, 977, 378, 336, 280?
Answer: LCM of 232, 977, 378, 336, 280 is 428394960.
2. How to calculate the LCM of 232, 977, 378, 336, 280?
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 232, 977, 378, 336, 280.
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}.