Find the LCM of 906, 100, 490, 302 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 906, 100, 490, 302. So, keep reading to learn more.
Given numbers are 906,100,490,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,100,490,302 is 2219700.
Find LCM of 906,100,490,302 with Prime Factorization
2 | 906, 100, 490, 302 |
5 | 453, 50, 245, 151 |
151 | 453, 10, 49, 151 |
3, 10, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 151 x 3 x 10 x 49 x 1 = 2219700
Therefore, the lowest common multiple of 906,100,490,302 is 2219700.
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.
906 x 100 x 490 x 302 = 13406988000
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
302 : 1, 2, 151, 302
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,100,490,302, is 2.
Now, the common factors can be found like this.
906:2x 3x 151
100:2x 2x 5x 5
490:2x 5x 7x 7
302:2x 151
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 151 = 3020
Therefore, the value for common factors is 3020.
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 = 13406988000/(2x3020)
LCM = 13406988000/6040
LCM = 2219700
Thus, we can understand that the LCM of 906,100,490,302 is 2219700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 100, 490, 302?
Answer: LCM of 906, 100, 490, 302 is 2219700.
2. How to calculate the LCM of 906, 100, 490, 302?
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 906, 100, 490, 302.
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}.