Find the LCM of 894, 890, 493, 359, 301 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 894, 890, 493, 359, 301. So, keep reading to learn more.
Given numbers are 894,890,493,359,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,890,493,359,301 is 21193632201210.
Find LCM of 894,890,493,359,301 with Prime Factorization
2 | 894, 890, 493, 359, 301 |
447, 445, 493, 359, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 447 x 445 x 493 x 359 x 301 = 21193632201210
Therefore, the lowest common multiple of 894,890,493,359,301 is 21193632201210.
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.
894 x 890 x 493 x 359 x 301 = 42387264402420
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
890 : 1, 2, 5, 10, 89, 178, 445, 890
493 : 1, 17, 29, 493
359 : 1, 359
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,890,493,359,301, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
890:2x 5x 89
493:17x 29
359:359
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 42387264402420/(1x2)
LCM = 42387264402420/2
LCM = 21193632201210
Thus, we can understand that the LCM of 894,890,493,359,301 is 21193632201210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 890, 493, 359, 301?
Answer: LCM of 894, 890, 493, 359, 301 is 21193632201210.
2. How to calculate the LCM of 894, 890, 493, 359, 301?
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 894, 890, 493, 359, 301.
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}.