LCM of 165, 501, 319, 963, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 501, 319, 963, 609 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 165, 501, 319, 963, 609. So, keep reading to learn more.
Given numbers are 165,501,319,963,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,501,319,963,609 is 1795566465.
Find LCM of 165,501,319,963,609 with Prime Factorization
| 3 | 165, 501, 319, 963, 609 |
| 11 | 55, 167, 319, 321, 203 |
| 29 | 5, 167, 29, 321, 203 |
| 5, 167, 1, 321, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 5 x 167 x 1 x 321 x 7 = 1795566465
Therefore, the lowest common multiple of 165,501,319,963,609 is 1795566465.
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.
165 x 501 x 319 x 963 x 609 = 15465213963045
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
501 : 1, 3, 167, 501
319 : 1, 11, 29, 319
963 : 1, 3, 9, 107, 321, 963
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,501,319,963,609, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
501:3x 167
319:11x 29
963:3x 3x 107
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 29 = 8613
Therefore, the value for common factors is 8613.
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 = 15465213963045/(1x8613)
LCM = 15465213963045/8613
LCM = 1795566465
Thus, we can understand that the LCM of 165,501,319,963,609 is 1795566465.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 165, 501, 319, 963, 609
1. What is the LCM of 165, 501, 319, 963, 609?
Answer: LCM of 165, 501, 319, 963, 609 is 1795566465.
2. How to calculate the LCM of 165, 501, 319, 963, 609?
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 165, 501, 319, 963, 609.
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}.