LCM of 123, 409, 975, 458, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 409, 975, 458, 650 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 123, 409, 975, 458, 650. So, keep reading to learn more.
Given numbers are 123,409,975,458,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,409,975,458,650 is 7488196950.
Find LCM of 123,409,975,458,650 with Prime Factorization
| 2 | 123, 409, 975, 458, 650 |
| 3 | 123, 409, 975, 229, 325 |
| 5 | 41, 409, 325, 229, 325 |
| 5 | 41, 409, 65, 229, 65 |
| 13 | 41, 409, 13, 229, 13 |
| 41, 409, 1, 229, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 41 x 409 x 1 x 229 x 1 = 7488196950
Therefore, the lowest common multiple of 123,409,975,458,650 is 7488196950.
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.
123 x 409 x 975 x 458 x 650 = 14601984052500
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.
123 : 1, 3, 41, 123
409 : 1, 409
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
458 : 1, 2, 229, 458
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,409,975,458,650, is 1.
Now, the common factors can be found like this.
123:3x 41
409:409
975:3x 5x 5x 13
458:2x 229
650:2x 5x 5x 13
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 5x 5x 13 = 1950
Therefore, the value for common factors is 1950.
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 = 14601984052500/(1x1950)
LCM = 14601984052500/1950
LCM = 7488196950
Thus, we can understand that the LCM of 123,409,975,458,650 is 7488196950.
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FAQs on LCM of 123, 409, 975, 458, 650
1. What is the LCM of 123, 409, 975, 458, 650?
Answer: LCM of 123, 409, 975, 458, 650 is 7488196950.
2. How to calculate the LCM of 123, 409, 975, 458, 650?
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 123, 409, 975, 458, 650.
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}.