LCM of 590, 792, 753, 354, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 792, 753, 354, 872 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 590, 792, 753, 354, 872. So, keep reading to learn more.
Given numbers are 590,792,753,354,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,792,753,354,872 is 6392156760.
Find LCM of 590,792,753,354,872 with Prime Factorization
| 2 | 590, 792, 753, 354, 872 |
| 2 | 295, 396, 753, 177, 436 |
| 2 | 295, 198, 753, 177, 218 |
| 3 | 295, 99, 753, 177, 109 |
| 59 | 295, 33, 251, 59, 109 |
| 5, 33, 251, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 59 x 5 x 33 x 251 x 1 x 109 = 6392156760
Therefore, the lowest common multiple of 590,792,753,354,872 is 6392156760.
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.
590 x 792 x 753 x 354 x 872 = 108615527665920
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
753 : 1, 3, 251, 753
354 : 1, 2, 3, 6, 59, 118, 177, 354
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,792,753,354,872, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
792:2x 2x 2x 3x 3x 11
753:3x 251
354:2x 3x 59
872:2x 2x 2x 109
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 2x 2x 3x 3x 59 = 16992
Therefore, the value for common factors is 16992.
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 = 108615527665920/(1x16992)
LCM = 108615527665920/16992
LCM = 6392156760
Thus, we can understand that the LCM of 590,792,753,354,872 is 6392156760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 590, 792, 753, 354, 872
1. What is the LCM of 590, 792, 753, 354, 872?
Answer: LCM of 590, 792, 753, 354, 872 is 6392156760.
2. How to calculate the LCM of 590, 792, 753, 354, 872?
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 590, 792, 753, 354, 872.
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}.