Find the LCM of 754, 319, 299, 539 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 754, 319, 299, 539. So, keep reading to learn more.
Given numbers are 754,319,299,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,319,299,539 is 9347338.
Find LCM of 754,319,299,539 with Prime Factorization
11 | 754, 319, 299, 539 |
13 | 754, 29, 299, 49 |
29 | 58, 29, 23, 49 |
2, 1, 23, 49 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 29 x 2 x 1 x 23 x 49 = 9347338
Therefore, the lowest common multiple of 754,319,299,539 is 9347338.
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.
754 x 319 x 299 x 539 = 38763410686
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
319 : 1, 11, 29, 319
299 : 1, 13, 23, 299
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,319,299,539, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
319:11x 29
299:13x 23
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 29 = 4147
Therefore, the value for common factors is 4147.
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 = 38763410686/(1x4147)
LCM = 38763410686/4147
LCM = 9347338
Thus, we can understand that the LCM of 754,319,299,539 is 9347338.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 754, 319, 299, 539?
Answer: LCM of 754, 319, 299, 539 is 9347338.
2. How to calculate the LCM of 754, 319, 299, 539?
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 754, 319, 299, 539.
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}.