LCM of 739, 627, 299, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 627, 299, 253 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 739, 627, 299, 253. So, keep reading to learn more.
Given numbers are 739,627,299,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,627,299,253 is 138542547.
Find LCM of 739,627,299,253 with Prime Factorization
| 11 | 739, 627, 299, 253 |
| 23 | 739, 57, 299, 23 |
| 739, 57, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 739 x 57 x 13 x 1 = 138542547
Therefore, the lowest common multiple of 739,627,299,253 is 138542547.
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.
739 x 627 x 299 x 253 = 35051264391
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.
739 : 1, 739
627 : 1, 3, 11, 19, 33, 57, 209, 627
299 : 1, 13, 23, 299
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,627,299,253, is 1.
Now, the common factors can be found like this.
739:739
627:3x 11x 19
299:13x 23
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 35051264391/(1x253)
LCM = 35051264391/253
LCM = 138542547
Thus, we can understand that the LCM of 739,627,299,253 is 138542547.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 739, 627, 299, 253
1. What is the LCM of 739, 627, 299, 253?
Answer: LCM of 739, 627, 299, 253 is 138542547.
2. How to calculate the LCM of 739, 627, 299, 253?
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 739, 627, 299, 253.
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}.