Find the LCM of 512, 150, 346, 473, 910 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 512, 150, 346, 473, 910. So, keep reading to learn more.
Given numbers are 512,150,346,473,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,150,346,473,910 is 285943257600.
Find LCM of 512,150,346,473,910 with Prime Factorization
2 | 512, 150, 346, 473, 910 |
5 | 256, 75, 173, 473, 455 |
256, 15, 173, 473, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 256 x 15 x 173 x 473 x 91 = 285943257600
Therefore, the lowest common multiple of 512,150,346,473,910 is 285943257600.
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.
512 x 150 x 346 x 473 x 910 = 11437730304000
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
346 : 1, 2, 173, 346
473 : 1, 11, 43, 473
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,150,346,473,910, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
150:2x 3x 5x 5
346:2x 173
473:11x 43
910:2x 5x 7x 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 2x 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 11437730304000/(1x40)
LCM = 11437730304000/40
LCM = 285943257600
Thus, we can understand that the LCM of 512,150,346,473,910 is 285943257600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 150, 346, 473, 910?
Answer: LCM of 512, 150, 346, 473, 910 is 285943257600.
2. How to calculate the LCM of 512, 150, 346, 473, 910?
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 512, 150, 346, 473, 910.
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}.