LCM of 105, 409, 549, 249, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 409, 549, 249, 488 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 105, 409, 549, 249, 488. So, keep reading to learn more.
Given numbers are 105,409,549,249,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,409,549,249,488 is 5218332840.
Find LCM of 105,409,549,249,488 with Prime Factorization
| 3 | 105, 409, 549, 249, 488 |
| 61 | 35, 409, 183, 83, 488 |
| 35, 409, 3, 83, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 35 x 409 x 3 x 83 x 8 = 5218332840
Therefore, the lowest common multiple of 105,409,549,249,488 is 5218332840.
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.
105 x 409 x 549 x 249 x 488 = 2864864729160
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
409 : 1, 409
549 : 1, 3, 9, 61, 183, 549
249 : 1, 3, 83, 249
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,409,549,249,488, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
409:409
549:3x 3x 61
249:3x 83
488:2x 2x 2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 61 = 549
Therefore, the value for common factors is 549.
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 = 2864864729160/(1x549)
LCM = 2864864729160/549
LCM = 5218332840
Thus, we can understand that the LCM of 105,409,549,249,488 is 5218332840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 105, 409, 549, 249, 488
1. What is the LCM of 105, 409, 549, 249, 488?
Answer: LCM of 105, 409, 549, 249, 488 is 5218332840.
2. How to calculate the LCM of 105, 409, 549, 249, 488?
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 105, 409, 549, 249, 488.
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}.