Find the LCM of 421, 314, 879, 438, 157 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 421, 314, 879, 438, 157. So, keep reading to learn more.
Given numbers are 421,314,879,438,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,314,879,438,157 is 8482492398.
Find LCM of 421,314,879,438,157 with Prime Factorization
2 | 421, 314, 879, 438, 157 |
3 | 421, 157, 879, 219, 157 |
157 | 421, 157, 293, 73, 157 |
421, 1, 293, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 421 x 1 x 293 x 73 x 1 = 8482492398
Therefore, the lowest common multiple of 421,314,879,438,157 is 8482492398.
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.
421 x 314 x 879 x 438 x 157 = 7990507838916
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.
421 : 1, 421
314 : 1, 2, 157, 314
879 : 1, 3, 293, 879
438 : 1, 2, 3, 6, 73, 146, 219, 438
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,314,879,438,157, is 1.
Now, the common factors can be found like this.
421:421
314:2x 157
879:3x 293
438:2x 3x 73
157:157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 157 = 942
Therefore, the value for common factors is 942.
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 = 7990507838916/(1x942)
LCM = 7990507838916/942
LCM = 8482492398
Thus, we can understand that the LCM of 421,314,879,438,157 is 8482492398.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 314, 879, 438, 157?
Answer: LCM of 421, 314, 879, 438, 157 is 8482492398.
2. How to calculate the LCM of 421, 314, 879, 438, 157?
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 421, 314, 879, 438, 157.
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}.