Find the LCM of 365, 299, 649, 741 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 365, 299, 649, 741. So, keep reading to learn more.
Given numbers are 365,299,649,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,299,649,741 is 4037231055.
Find LCM of 365,299,649,741 with Prime Factorization
13 | 365, 299, 649, 741 |
365, 23, 649, 57 |
Multiply the prime numbers at the bottom and the left side.
13 x 365 x 23 x 649 x 57 = 4037231055
Therefore, the lowest common multiple of 365,299,649,741 is 4037231055.
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.
365 x 299 x 649 x 741 = 52484003715
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.
365 : 1, 5, 73, 365
299 : 1, 13, 23, 299
649 : 1, 11, 59, 649
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,299,649,741, is 1.
Now, the common factors can be found like this.
365:5x 73
299:13x 23
649:11x 59
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 52484003715/(1x13)
LCM = 52484003715/13
LCM = 4037231055
Thus, we can understand that the LCM of 365,299,649,741 is 4037231055.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 365, 299, 649, 741?
Answer: LCM of 365, 299, 649, 741 is 4037231055.
2. How to calculate the LCM of 365, 299, 649, 741?
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 365, 299, 649, 741.
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}.