Find the LCM of 562, 689, 477, 894 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 562, 689, 477, 894. So, keep reading to learn more.
Given numbers are 562,689,477,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,689,477,894 is 519259338.
Find LCM of 562,689,477,894 with Prime Factorization
2 | 562, 689, 477, 894 |
3 | 281, 689, 477, 447 |
53 | 281, 689, 159, 149 |
281, 13, 3, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 281 x 13 x 3 x 149 = 519259338
Therefore, the lowest common multiple of 562,689,477,894 is 519259338.
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.
562 x 689 x 477 x 894 = 165124469484
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.
562 : 1, 2, 281, 562
689 : 1, 13, 53, 689
477 : 1, 3, 9, 53, 159, 477
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,689,477,894, is 1.
Now, the common factors can be found like this.
562:2x 281
689:13x 53
477:3x 3x 53
894:2x 3x 149
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 53 = 318
Therefore, the value for common factors is 318.
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 = 165124469484/(1x318)
LCM = 165124469484/318
LCM = 519259338
Thus, we can understand that the LCM of 562,689,477,894 is 519259338.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 562, 689, 477, 894?
Answer: LCM of 562, 689, 477, 894 is 519259338.
2. How to calculate the LCM of 562, 689, 477, 894?
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 562, 689, 477, 894.
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}.