Find the LCM of 642, 153, 412, 440 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 642, 153, 412, 440. So, keep reading to learn more.
Given numbers are 642,153,412,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,153,412,440 is 741933720.
Find LCM of 642,153,412,440 with Prime Factorization
2 | 642, 153, 412, 440 |
2 | 321, 153, 206, 220 |
3 | 321, 153, 103, 110 |
107, 51, 103, 110 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 51 x 103 x 110 = 741933720
Therefore, the lowest common multiple of 642,153,412,440 is 741933720.
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.
642 x 153 x 412 x 440 = 17806409280
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
153 : 1, 3, 9, 17, 51, 153
412 : 1, 2, 4, 103, 206, 412
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,153,412,440, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
153:3x 3x 17
412:2x 2x 103
440:2x 2x 2x 5x 11
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 3 = 24
Therefore, the value for common factors is 24.
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 = 17806409280/(1x24)
LCM = 17806409280/24
LCM = 741933720
Thus, we can understand that the LCM of 642,153,412,440 is 741933720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 153, 412, 440?
Answer: LCM of 642, 153, 412, 440 is 741933720.
2. How to calculate the LCM of 642, 153, 412, 440?
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 642, 153, 412, 440.
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}.