LCM of 925, 483, 604, 640, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 483, 604, 640, 974 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 925, 483, 604, 640, 974. So, keep reading to learn more.
Given numbers are 925,483,604,640,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,483,604,640,974 is 4205375126400.
Find LCM of 925,483,604,640,974 with Prime Factorization
| 2 | 925, 483, 604, 640, 974 |
| 2 | 925, 483, 302, 320, 487 |
| 5 | 925, 483, 151, 160, 487 |
| 185, 483, 151, 32, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 185 x 483 x 151 x 32 x 487 = 4205375126400
Therefore, the lowest common multiple of 925,483,604,640,974 is 4205375126400.
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.
925 x 483 x 604 x 640 x 974 = 168215005056000
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.
925 : 1, 5, 25, 37, 185, 925
483 : 1, 3, 7, 21, 23, 69, 161, 483
604 : 1, 2, 4, 151, 302, 604
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,483,604,640,974, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
483:3x 7x 23
604:2x 2x 151
640:2x 2x 2x 2x 2x 2x 2x 5
974:2x 487
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 5 = 40
Therefore, the value for common factors is 40.
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 = 168215005056000/(1x40)
LCM = 168215005056000/40
LCM = 4205375126400
Thus, we can understand that the LCM of 925,483,604,640,974 is 4205375126400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 925, 483, 604, 640, 974
1. What is the LCM of 925, 483, 604, 640, 974?
Answer: LCM of 925, 483, 604, 640, 974 is 4205375126400.
2. How to calculate the LCM of 925, 483, 604, 640, 974?
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 925, 483, 604, 640, 974.
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}.