Find the LCM of 302, 987, 392, 462, 155 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 302, 987, 392, 462, 155. So, keep reading to learn more.
Given numbers are 302,987,392,462,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,987,392,462,155 is 14230052760.
Find LCM of 302,987,392,462,155 with Prime Factorization
2 | 302, 987, 392, 462, 155 |
3 | 151, 987, 196, 231, 155 |
7 | 151, 329, 196, 77, 155 |
151, 47, 28, 11, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 151 x 47 x 28 x 11 x 155 = 14230052760
Therefore, the lowest common multiple of 302,987,392,462,155 is 14230052760.
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.
302 x 987 x 392 x 462 x 155 = 8367271022880
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.
302 : 1, 2, 151, 302
987 : 1, 3, 7, 21, 47, 141, 329, 987
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,987,392,462,155, is 1.
Now, the common factors can be found like this.
302:2x 151
987:3x 7x 47
392:2x 2x 2x 7x 7
462:2x 3x 7x 11
155:5x 31
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 8367271022880/(1x588)
LCM = 8367271022880/588
LCM = 14230052760
Thus, we can understand that the LCM of 302,987,392,462,155 is 14230052760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 987, 392, 462, 155?
Answer: LCM of 302, 987, 392, 462, 155 is 14230052760.
2. How to calculate the LCM of 302, 987, 392, 462, 155?
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 302, 987, 392, 462, 155.
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}.