LCM of 471, 860, 330, 737, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 860, 330, 737, 501 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 471, 860, 330, 737, 501. So, keep reading to learn more.
Given numbers are 471,860,330,737,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,860,330,737,501 is 49854379740.
Find LCM of 471,860,330,737,501 with Prime Factorization
| 2 | 471, 860, 330, 737, 501 |
| 3 | 471, 430, 165, 737, 501 |
| 5 | 157, 430, 55, 737, 167 |
| 11 | 157, 86, 11, 737, 167 |
| 157, 86, 1, 67, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 157 x 86 x 1 x 67 x 167 = 49854379740
Therefore, the lowest common multiple of 471,860,330,737,501 is 49854379740.
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.
471 x 860 x 330 x 737 x 501 = 49355835942600
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.
471 : 1, 3, 157, 471
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
737 : 1, 11, 67, 737
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,860,330,737,501, is 1.
Now, the common factors can be found like this.
471:3x 157
860:2x 2x 5x 43
330:2x 3x 5x 11
737:11x 67
501:3x 167
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 3x 5x 11 = 990
Therefore, the value for common factors is 990.
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 = 49355835942600/(1x990)
LCM = 49355835942600/990
LCM = 49854379740
Thus, we can understand that the LCM of 471,860,330,737,501 is 49854379740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 471, 860, 330, 737, 501
1. What is the LCM of 471, 860, 330, 737, 501?
Answer: LCM of 471, 860, 330, 737, 501 is 49854379740.
2. How to calculate the LCM of 471, 860, 330, 737, 501?
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 471, 860, 330, 737, 501.
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}.