LCM of 626, 513, 606, 754, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 513, 606, 754, 992 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 626, 513, 606, 754, 992. So, keep reading to learn more.
Given numbers are 626,513,606,754,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,513,606,754,992 is 6065073926496.
Find LCM of 626,513,606,754,992 with Prime Factorization
| 2 | 626, 513, 606, 754, 992 |
| 3 | 313, 513, 303, 377, 496 |
| 313, 171, 101, 377, 496 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 313 x 171 x 101 x 377 x 496 = 6065073926496
Therefore, the lowest common multiple of 626,513,606,754,992 is 6065073926496.
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.
626 x 513 x 606 x 754 x 992 = 145561774235904
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.
626 : 1, 2, 313, 626
513 : 1, 3, 9, 19, 27, 57, 171, 513
606 : 1, 2, 3, 6, 101, 202, 303, 606
754 : 1, 2, 13, 26, 29, 58, 377, 754
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,513,606,754,992, is 1.
Now, the common factors can be found like this.
626:2x 313
513:3x 3x 3x 19
606:2x 3x 101
754:2x 13x 29
992:2x 2x 2x 2x 2x 31
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 3 = 24
Therefore, the value for common factors is 24.
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 = 145561774235904/(1x24)
LCM = 145561774235904/24
LCM = 6065073926496
Thus, we can understand that the LCM of 626,513,606,754,992 is 6065073926496.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 626, 513, 606, 754, 992
1. What is the LCM of 626, 513, 606, 754, 992?
Answer: LCM of 626, 513, 606, 754, 992 is 6065073926496.
2. How to calculate the LCM of 626, 513, 606, 754, 992?
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 626, 513, 606, 754, 992.
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}.