LCM of 502, 429, 390, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 502, 429, 390, 363 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 502, 429, 390, 363. So, keep reading to learn more.
Given numbers are 502,429,390,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,429,390,363 is 11844690.
Find LCM of 502,429,390,363 with Prime Factorization
| 2 | 502, 429, 390, 363 |
| 3 | 251, 429, 195, 363 |
| 11 | 251, 143, 65, 121 |
| 13 | 251, 13, 65, 11 |
| 251, 1, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 251 x 1 x 5 x 11 = 11844690
Therefore, the lowest common multiple of 502,429,390,363 is 11844690.
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.
502 x 429 x 390 x 363 = 30488232060
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.
502 : 1, 2, 251, 502
429 : 1, 3, 11, 13, 33, 39, 143, 429
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,429,390,363, is 1.
Now, the common factors can be found like this.
502:2x 251
429:3x 11x 13
390:2x 3x 5x 13
363:3x 11x 11
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 11x 13 = 2574
Therefore, the value for common factors is 2574.
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 = 30488232060/(1x2574)
LCM = 30488232060/2574
LCM = 11844690
Thus, we can understand that the LCM of 502,429,390,363 is 11844690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 502, 429, 390, 363
1. What is the LCM of 502, 429, 390, 363?
Answer: LCM of 502, 429, 390, 363 is 11844690.
2. How to calculate the LCM of 502, 429, 390, 363?
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 502, 429, 390, 363.
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}.