Find the LCM of 674, 263, 901, 350, 213 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 674, 263, 901, 350, 213. So, keep reading to learn more.
Given numbers are 674,263,901,350,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,263,901,350,213 is 5953304386050.
Find LCM of 674,263,901,350,213 with Prime Factorization
2 | 674, 263, 901, 350, 213 |
337, 263, 901, 175, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 263 x 901 x 175 x 213 = 5953304386050
Therefore, the lowest common multiple of 674,263,901,350,213 is 5953304386050.
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.
674 x 263 x 901 x 350 x 213 = 11906608772100
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.
674 : 1, 2, 337, 674
263 : 1, 263
901 : 1, 17, 53, 901
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,263,901,350,213, is 1.
Now, the common factors can be found like this.
674:2x 337
263:263
901:17x 53
350:2x 5x 5x 7
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 11906608772100/(1x2)
LCM = 11906608772100/2
LCM = 5953304386050
Thus, we can understand that the LCM of 674,263,901,350,213 is 5953304386050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 263, 901, 350, 213?
Answer: LCM of 674, 263, 901, 350, 213 is 5953304386050.
2. How to calculate the LCM of 674, 263, 901, 350, 213?
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 674, 263, 901, 350, 213.
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}.