LCM of 475, 195, 342, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 475, 195, 342, 509 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 475, 195, 342, 509. So, keep reading to learn more.
Given numbers are 475,195,342,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,195,342,509 is 56575350.
Find LCM of 475,195,342,509 with Prime Factorization
| 3 | 475, 195, 342, 509 |
| 5 | 475, 65, 114, 509 |
| 19 | 95, 13, 114, 509 |
| 5, 13, 6, 509 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 5 x 13 x 6 x 509 = 56575350
Therefore, the lowest common multiple of 475,195,342,509 is 56575350.
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.
475 x 195 x 342 x 509 = 16123974750
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.
475 : 1, 5, 19, 25, 95, 475
195 : 1, 3, 5, 13, 15, 39, 65, 195
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,195,342,509, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
195:3x 5x 13
342:2x 3x 3x 19
509:509
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 19 = 285
Therefore, the value for common factors is 285.
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 = 16123974750/(1x285)
LCM = 16123974750/285
LCM = 56575350
Thus, we can understand that the LCM of 475,195,342,509 is 56575350.
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FAQs on LCM of 475, 195, 342, 509
1. What is the LCM of 475, 195, 342, 509?
Answer: LCM of 475, 195, 342, 509 is 56575350.
2. How to calculate the LCM of 475, 195, 342, 509?
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 475, 195, 342, 509.
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}.