LCM of 232, 865, 240, 820, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 865, 240, 820, 251 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, 865, 240, 820, 251. So, keep reading to learn more.
Given numbers are 232,865,240,820,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,865,240,820,251 is 12391187280.
Find LCM of 232,865,240,820,251 with Prime Factorization
| 2 | 232, 865, 240, 820, 251 |
| 2 | 116, 865, 120, 410, 251 |
| 2 | 58, 865, 60, 205, 251 |
| 5 | 29, 865, 30, 205, 251 |
| 29, 173, 6, 41, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 29 x 173 x 6 x 41 x 251 = 12391187280
Therefore, the lowest common multiple of 232,865,240,820,251 is 12391187280.
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 865 x 240 x 820 x 251 = 9912949824000
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
865 : 1, 5, 173, 865
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,865,240,820,251, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
865:5x 173
240:2x 2x 2x 2x 3x 5
820:2x 2x 5x 41
251:251
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 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 9912949824000/(1x800)
LCM = 9912949824000/800
LCM = 12391187280
Thus, we can understand that the LCM of 232,865,240,820,251 is 12391187280.
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FAQs on LCM of 232, 865, 240, 820, 251
1. What is the LCM of 232, 865, 240, 820, 251?
Answer: LCM of 232, 865, 240, 820, 251 is 12391187280.
2. How to calculate the LCM of 232, 865, 240, 820, 251?
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, 865, 240, 820, 251.
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}.