LCM of 621, 285, 145, 335, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 285, 145, 335, 475 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 621, 285, 145, 335, 475. So, keep reading to learn more.
Given numbers are 621,285,145,335,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,285,145,335,475 is 573136425.
Find LCM of 621,285,145,335,475 with Prime Factorization
| 3 | 621, 285, 145, 335, 475 |
| 5 | 207, 95, 145, 335, 475 |
| 19 | 207, 19, 29, 67, 95 |
| 207, 1, 29, 67, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 207 x 1 x 29 x 67 x 5 = 573136425
Therefore, the lowest common multiple of 621,285,145,335,475 is 573136425.
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.
621 x 285 x 145 x 335 x 475 = 4083597028125
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
285 : 1, 3, 5, 15, 19, 57, 95, 285
145 : 1, 5, 29, 145
335 : 1, 5, 67, 335
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,285,145,335,475, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
285:3x 5x 19
145:5x 29
335:5x 67
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 19 = 7125
Therefore, the value for common factors is 7125.
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 = 4083597028125/(1x7125)
LCM = 4083597028125/7125
LCM = 573136425
Thus, we can understand that the LCM of 621,285,145,335,475 is 573136425.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 621, 285, 145, 335, 475
1. What is the LCM of 621, 285, 145, 335, 475?
Answer: LCM of 621, 285, 145, 335, 475 is 573136425.
2. How to calculate the LCM of 621, 285, 145, 335, 475?
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 621, 285, 145, 335, 475.
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}.