Find the LCM of 654, 701, 874, 874 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 654, 701, 874, 874. So, keep reading to learn more.
Given numbers are 654,701,874,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,701,874,874 is 200344398.
Find LCM of 654,701,874,874 with Prime Factorization
2 | 654, 701, 874, 874 |
19 | 327, 701, 437, 437 |
23 | 327, 701, 23, 23 |
327, 701, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 327 x 701 x 1 x 1 = 200344398
Therefore, the lowest common multiple of 654,701,874,874 is 200344398.
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.
654 x 701 x 874 x 874 = 350202007704
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
701 : 1, 701
874 : 1, 2, 19, 23, 38, 46, 437, 874
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,701,874,874, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
701:701
874:2x 19x 23
874:2x 19x 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 2x 19x 23 = 1748
Therefore, the value for common factors is 1748.
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 = 350202007704/(1x1748)
LCM = 350202007704/1748
LCM = 200344398
Thus, we can understand that the LCM of 654,701,874,874 is 200344398.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 654, 701, 874, 874?
Answer: LCM of 654, 701, 874, 874 is 200344398.
2. How to calculate the LCM of 654, 701, 874, 874?
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 654, 701, 874, 874.
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}.