Find the LCM of 470, 470, 548, 430 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 470, 470, 548, 430. So, keep reading to learn more.
Given numbers are 470,470,548,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,470,548,430 is 5537540.
Find LCM of 470,470,548,430 with Prime Factorization
2 | 470, 470, 548, 430 |
5 | 235, 235, 274, 215 |
47 | 47, 47, 274, 43 |
1, 1, 274, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 1 x 1 x 274 x 43 = 5537540
Therefore, the lowest common multiple of 470,470,548,430 is 5537540.
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.
470 x 470 x 548 x 430 = 52052876000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
470 : 1, 2, 5, 10, 47, 94, 235, 470
548 : 1, 2, 4, 137, 274, 548
430 : 1, 2, 5, 10, 43, 86, 215, 430
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,470,548,430, is 2.
Now, the common factors can be found like this.
470:2x 5x 47
470:2x 5x 47
548:2x 2x 137
430:2x 5x 43
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 5x 47 = 4700
Therefore, the value for common factors is 4700.
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 = 52052876000/(2x4700)
LCM = 52052876000/9400
LCM = 5537540
Thus, we can understand that the LCM of 470,470,548,430 is 5537540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 470, 548, 430?
Answer: LCM of 470, 470, 548, 430 is 5537540.
2. How to calculate the LCM of 470, 470, 548, 430?
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 470, 470, 548, 430.
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}.