LCM of 439, 496, 975, 950, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 496, 975, 950, 242 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 439, 496, 975, 950, 242. So, keep reading to learn more.
Given numbers are 439,496,975,950,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,496,975,950,242 is 488078619600.
Find LCM of 439,496,975,950,242 with Prime Factorization
| 2 | 439, 496, 975, 950, 242 |
| 5 | 439, 248, 975, 475, 121 |
| 5 | 439, 248, 195, 95, 121 |
| 439, 248, 39, 19, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 439 x 248 x 39 x 19 x 121 = 488078619600
Therefore, the lowest common multiple of 439,496,975,950,242 is 488078619600.
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.
439 x 496 x 975 x 950 x 242 = 48807861960000
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.
439 : 1, 439
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,496,975,950,242, is 1.
Now, the common factors can be found like this.
439:439
496:2x 2x 2x 2x 31
975:3x 5x 5x 13
950:2x 5x 5x 19
242:2x 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 2x 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 48807861960000/(1x100)
LCM = 48807861960000/100
LCM = 488078619600
Thus, we can understand that the LCM of 439,496,975,950,242 is 488078619600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 439, 496, 975, 950, 242
1. What is the LCM of 439, 496, 975, 950, 242?
Answer: LCM of 439, 496, 975, 950, 242 is 488078619600.
2. How to calculate the LCM of 439, 496, 975, 950, 242?
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 439, 496, 975, 950, 242.
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}.