Find the LCM of 649, 323, 874, 421 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 649, 323, 874, 421. So, keep reading to learn more.
Given numbers are 649,323,874,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,323,874,421 is 4059636482.
Find LCM of 649,323,874,421 with Prime Factorization
19 | 649, 323, 874, 421 |
649, 17, 46, 421 |
Multiply the prime numbers at the bottom and the left side.
19 x 649 x 17 x 46 x 421 = 4059636482
Therefore, the lowest common multiple of 649,323,874,421 is 4059636482.
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.
649 x 323 x 874 x 421 = 77133093158
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.
649 : 1, 11, 59, 649
323 : 1, 17, 19, 323
874 : 1, 2, 19, 23, 38, 46, 437, 874
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,323,874,421, is 1.
Now, the common factors can be found like this.
649:11x 59
323:17x 19
874:2x 19x 23
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 77133093158/(1x19)
LCM = 77133093158/19
LCM = 4059636482
Thus, we can understand that the LCM of 649,323,874,421 is 4059636482.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 323, 874, 421?
Answer: LCM of 649, 323, 874, 421 is 4059636482.
2. How to calculate the LCM of 649, 323, 874, 421?
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 649, 323, 874, 421.
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}.