Find the LCM of 542, 842, 668, 763, 449 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 542, 842, 668, 763, 449. So, keep reading to learn more.
Given numbers are 542,842,668,763,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,842,668,763,449 is 26109510402556.
Find LCM of 542,842,668,763,449 with Prime Factorization
2 | 542, 842, 668, 763, 449 |
271, 421, 334, 763, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 271 x 421 x 334 x 763 x 449 = 26109510402556
Therefore, the lowest common multiple of 542,842,668,763,449 is 26109510402556.
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.
542 x 842 x 668 x 763 x 449 = 104438041610224
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.
542 : 1, 2, 271, 542
842 : 1, 2, 421, 842
668 : 1, 2, 4, 167, 334, 668
763 : 1, 7, 109, 763
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,842,668,763,449, is 1.
Now, the common factors can be found like this.
542:2x 271
842:2x 421
668:2x 2x 167
763:7x 109
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 104438041610224/(1x4)
LCM = 104438041610224/4
LCM = 26109510402556
Thus, we can understand that the LCM of 542,842,668,763,449 is 26109510402556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 842, 668, 763, 449?
Answer: LCM of 542, 842, 668, 763, 449 is 26109510402556.
2. How to calculate the LCM of 542, 842, 668, 763, 449?
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 542, 842, 668, 763, 449.
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}.