LCM of 305, 975, 125, 630, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 975, 125, 630, 590 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 305, 975, 125, 630, 590. So, keep reading to learn more.
Given numbers are 305,975,125,630,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,975,125,630,590 is 736895250.
Find LCM of 305,975,125,630,590 with Prime Factorization
| 2 | 305, 975, 125, 630, 590 |
| 3 | 305, 975, 125, 315, 295 |
| 5 | 305, 325, 125, 105, 295 |
| 5 | 61, 65, 25, 21, 59 |
| 61, 13, 5, 21, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 61 x 13 x 5 x 21 x 59 = 736895250
Therefore, the lowest common multiple of 305,975,125,630,590 is 736895250.
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.
305 x 975 x 125 x 630 x 590 = 13816785937500
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.
305 : 1, 5, 61, 305
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
125 : 1, 5, 25, 125
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
590 : 1, 2, 5, 10, 59, 118, 295, 590
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,975,125,630,590, is 5.
Now, the common factors can be found like this.
305:5x 61
975:3x 5x 5x 13
125:5x 5x 5
630:2x 3x 3x 5x 7
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 5 = 3750
Therefore, the value for common factors is 3750.
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 = 13816785937500/(5x3750)
LCM = 13816785937500/18750
LCM = 736895250
Thus, we can understand that the LCM of 305,975,125,630,590 is 736895250.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 305, 975, 125, 630, 590
1. What is the LCM of 305, 975, 125, 630, 590?
Answer: LCM of 305, 975, 125, 630, 590 is 736895250.
2. How to calculate the LCM of 305, 975, 125, 630, 590?
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 305, 975, 125, 630, 590.
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}.