Find the LCM of 894, 524, 917, 299 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, 524, 917, 299. So, keep reading to learn more.
Given numbers are 894,524,917,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,524,917,299 is 490239204.
Find LCM of 894,524,917,299 with Prime Factorization
2 | 894, 524, 917, 299 |
131 | 447, 262, 917, 299 |
447, 2, 7, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 447 x 2 x 7 x 299 = 490239204
Therefore, the lowest common multiple of 894,524,917,299 is 490239204.
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 524 x 917 x 299 = 128442671448
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
524 : 1, 2, 4, 131, 262, 524
917 : 1, 7, 131, 917
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,524,917,299, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
524:2x 2x 131
917:7x 131
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 131 = 262
Therefore, the value for common factors is 262.
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 = 128442671448/(1x262)
LCM = 128442671448/262
LCM = 490239204
Thus, we can understand that the LCM of 894,524,917,299 is 490239204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 524, 917, 299?
Answer: LCM of 894, 524, 917, 299 is 490239204.
2. How to calculate the LCM of 894, 524, 917, 299?
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, 524, 917, 299.
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}.