Find the LCM of 910, 842, 890, 250, 421 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 910, 842, 890, 250, 421. So, keep reading to learn more.
Given numbers are 910,842,890,250,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,842,890,250,421 is 852419750.
Find LCM of 910,842,890,250,421 with Prime Factorization
2 | 910, 842, 890, 250, 421 |
5 | 455, 421, 445, 125, 421 |
421 | 91, 421, 89, 25, 421 |
91, 1, 89, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 421 x 91 x 1 x 89 x 25 x 1 = 852419750
Therefore, the lowest common multiple of 910,842,890,250,421 is 852419750.
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.
910 x 842 x 890 x 250 x 421 = 71773742950000
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
842 : 1, 2, 421, 842
890 : 1, 2, 5, 10, 89, 178, 445, 890
250 : 1, 2, 5, 10, 25, 50, 125, 250
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,842,890,250,421, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
842:2x 421
890:2x 5x 89
250:2x 5x 5x 5
421:421
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 5x 5x 421 = 84200
Therefore, the value for common factors is 84200.
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 = 71773742950000/(1x84200)
LCM = 71773742950000/84200
LCM = 852419750
Thus, we can understand that the LCM of 910,842,890,250,421 is 852419750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 842, 890, 250, 421?
Answer: LCM of 910, 842, 890, 250, 421 is 852419750.
2. How to calculate the LCM of 910, 842, 890, 250, 421?
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 910, 842, 890, 250, 421.
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}.