LCM of 253, 374, 628, 799, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 374, 628, 799, 109 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 253, 374, 628, 799, 109. So, keep reading to learn more.
Given numbers are 253,374,628,799,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,374,628,799,109 is 13837366444.
Find LCM of 253,374,628,799,109 with Prime Factorization
| 2 | 253, 374, 628, 799, 109 |
| 11 | 253, 187, 314, 799, 109 |
| 17 | 23, 17, 314, 799, 109 |
| 23, 1, 314, 47, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 23 x 1 x 314 x 47 x 109 = 13837366444
Therefore, the lowest common multiple of 253,374,628,799,109 is 13837366444.
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.
253 x 374 x 628 x 799 x 109 = 5175175050056
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.
253 : 1, 11, 23, 253
374 : 1, 2, 11, 17, 22, 34, 187, 374
628 : 1, 2, 4, 157, 314, 628
799 : 1, 17, 47, 799
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,374,628,799,109, is 1.
Now, the common factors can be found like this.
253:11x 23
374:2x 11x 17
628:2x 2x 157
799:17x 47
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 5175175050056/(1x374)
LCM = 5175175050056/374
LCM = 13837366444
Thus, we can understand that the LCM of 253,374,628,799,109 is 13837366444.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 253, 374, 628, 799, 109
1. What is the LCM of 253, 374, 628, 799, 109?
Answer: LCM of 253, 374, 628, 799, 109 is 13837366444.
2. How to calculate the LCM of 253, 374, 628, 799, 109?
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 253, 374, 628, 799, 109.
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}.