Find the LCM of 894, 699, 289, 974 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 894, 699, 289, 974. So, keep reading to learn more.
Given numbers are 894,699,289,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,699,289,974 is 29317048386.
Find LCM of 894,699,289,974 with Prime Factorization
2 | 894, 699, 289, 974 |
3 | 447, 699, 289, 487 |
149, 233, 289, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 233 x 289 x 487 = 29317048386
Therefore, the lowest common multiple of 894,699,289,974 is 29317048386.
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.
894 x 699 x 289 x 974 = 175902290316
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
699 : 1, 3, 233, 699
289 : 1, 17, 289
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,699,289,974, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
699:3x 233
289:17x 17
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 175902290316/(1x6)
LCM = 175902290316/6
LCM = 29317048386
Thus, we can understand that the LCM of 894,699,289,974 is 29317048386.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 699, 289, 974?
Answer: LCM of 894, 699, 289, 974 is 29317048386.
2. How to calculate the LCM of 894, 699, 289, 974?
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 894, 699, 289, 974.
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}.