LCM of 604, 300, 585, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 300, 585, 970 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 604, 300, 585, 970. So, keep reading to learn more.
Given numbers are 604,300,585,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,300,585,970 is 171369900.
Find LCM of 604,300,585,970 with Prime Factorization
| 2 | 604, 300, 585, 970 |
| 2 | 302, 150, 585, 485 |
| 3 | 151, 75, 585, 485 |
| 5 | 151, 25, 195, 485 |
| 151, 5, 39, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 151 x 5 x 39 x 97 = 171369900
Therefore, the lowest common multiple of 604,300,585,970 is 171369900.
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.
604 x 300 x 585 x 970 = 102821940000
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.
604 : 1, 2, 4, 151, 302, 604
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,300,585,970, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
300:2x 2x 3x 5x 5
585:3x 3x 5x 13
970:2x 5x 97
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 102821940000/(1x600)
LCM = 102821940000/600
LCM = 171369900
Thus, we can understand that the LCM of 604,300,585,970 is 171369900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 300, 585, 970
1. What is the LCM of 604, 300, 585, 970?
Answer: LCM of 604, 300, 585, 970 is 171369900.
2. How to calculate the LCM of 604, 300, 585, 970?
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 604, 300, 585, 970.
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}.