Find the LCM of 3, 604, 615, 151 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 3, 604, 615, 151. So, keep reading to learn more.
Given numbers are 3,604,615,151
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3,604,615,151 is 371460.
Find LCM of 3,604,615,151 with Prime Factorization
3 | 3, 604, 615, 151 |
151 | 1, 604, 205, 151 |
1, 4, 205, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 151 x 1 x 4 x 205 x 1 = 371460
Therefore, the lowest common multiple of 3,604,615,151 is 371460.
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.
3 x 604 x 615 x 151 = 168271380
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.
3 : 1, 3
604 : 1, 2, 4, 151, 302, 604
615 : 1, 3, 5, 15, 41, 123, 205, 615
151 : 1, 151
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,604,615,151, is 1.
Now, the common factors can be found like this.
3:3
604:2x 2x 151
615:3x 5x 41
151:151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 151 = 453
Therefore, the value for common factors is 453.
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 = 168271380/(1x453)
LCM = 168271380/453
LCM = 371460
Thus, we can understand that the LCM of 3,604,615,151 is 371460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3, 604, 615, 151?
Answer: LCM of 3, 604, 615, 151 is 371460.
2. How to calculate the LCM of 3, 604, 615, 151?
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 3, 604, 615, 151.
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}.