LCM of 105, 249, 548, 952, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 249, 548, 952, 480 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, 249, 548, 952, 480. So, keep reading to learn more.
Given numbers are 105,249,548,952,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,249,548,952,480 is 649511520.
Find LCM of 105,249,548,952,480 with Prime Factorization
| 2 | 105, 249, 548, 952, 480 |
| 2 | 105, 249, 274, 476, 240 |
| 2 | 105, 249, 137, 238, 120 |
| 3 | 105, 249, 137, 119, 60 |
| 5 | 35, 83, 137, 119, 20 |
| 7 | 7, 83, 137, 119, 4 |
| 1, 83, 137, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 1 x 83 x 137 x 17 x 4 = 649511520
Therefore, the lowest common multiple of 105,249,548,952,480 is 649511520.
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 249 x 548 x 952 x 480 = 6547076121600
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
249 : 1, 3, 83, 249
548 : 1, 2, 4, 137, 274, 548
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,249,548,952,480, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
249:3x 83
548:2x 2x 137
952:2x 2x 2x 7x 17
480:2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 3x 3x 5x 7 = 10080
Therefore, the value for common factors is 10080.
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 = 6547076121600/(1x10080)
LCM = 6547076121600/10080
LCM = 649511520
Thus, we can understand that the LCM of 105,249,548,952,480 is 649511520.
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FAQs on LCM of 105, 249, 548, 952, 480
1. What is the LCM of 105, 249, 548, 952, 480?
Answer: LCM of 105, 249, 548, 952, 480 is 649511520.
2. How to calculate the LCM of 105, 249, 548, 952, 480?
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, 249, 548, 952, 480.
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}.