LCM of 291, 973, 525, 850, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 973, 525, 850, 579 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 291, 973, 525, 850, 579. So, keep reading to learn more.
Given numbers are 291,973,525,850,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,973,525,850,579 is 46449609150.
Find LCM of 291,973,525,850,579 with Prime Factorization
| 3 | 291, 973, 525, 850, 579 |
| 5 | 97, 973, 175, 850, 193 |
| 5 | 97, 973, 35, 170, 193 |
| 7 | 97, 973, 7, 34, 193 |
| 97, 139, 1, 34, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 7 x 97 x 139 x 1 x 34 x 193 = 46449609150
Therefore, the lowest common multiple of 291,973,525,850,579 is 46449609150.
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.
291 x 973 x 525 x 850 x 579 = 73158134411250
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.
291 : 1, 3, 97, 291
973 : 1, 7, 139, 973
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,973,525,850,579, is 1.
Now, the common factors can be found like this.
291:3x 97
973:7x 139
525:3x 5x 5x 7
850:2x 5x 5x 17
579:3x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 7 = 1575
Therefore, the value for common factors is 1575.
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 = 73158134411250/(1x1575)
LCM = 73158134411250/1575
LCM = 46449609150
Thus, we can understand that the LCM of 291,973,525,850,579 is 46449609150.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 291, 973, 525, 850, 579
1. What is the LCM of 291, 973, 525, 850, 579?
Answer: LCM of 291, 973, 525, 850, 579 is 46449609150.
2. How to calculate the LCM of 291, 973, 525, 850, 579?
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 291, 973, 525, 850, 579.
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}.