Find the LCM of 894, 460, 330, 602 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, 460, 330, 602. So, keep reading to learn more.
Given numbers are 894,460,330,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,460,330,602 is 680807820.
Find LCM of 894,460,330,602 with Prime Factorization
2 | 894, 460, 330, 602 |
3 | 447, 230, 165, 301 |
5 | 149, 230, 55, 301 |
149, 46, 11, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 149 x 46 x 11 x 301 = 680807820
Therefore, the lowest common multiple of 894,460,330,602 is 680807820.
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 460 x 330 x 602 = 81696938400
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
602 : 1, 2, 7, 14, 43, 86, 301, 602
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,460,330,602, is 2.
Now, the common factors can be found like this.
894:2x 3x 149
460:2x 2x 5x 23
330:2x 3x 5x 11
602:2x 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.
2x 2x 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 81696938400/(2x60)
LCM = 81696938400/120
LCM = 680807820
Thus, we can understand that the LCM of 894,460,330,602 is 680807820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 460, 330, 602?
Answer: LCM of 894, 460, 330, 602 is 680807820.
2. How to calculate the LCM of 894, 460, 330, 602?
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, 460, 330, 602.
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}.