Find the LCM of 422, 211, 805, 748, 700 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 422, 211, 805, 748, 700. So, keep reading to learn more.
Given numbers are 422,211,805,748,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,211,805,748,700 is 635257700.
Find LCM of 422,211,805,748,700 with Prime Factorization
2 | 422, 211, 805, 748, 700 |
2 | 211, 211, 805, 374, 350 |
5 | 211, 211, 805, 187, 175 |
7 | 211, 211, 161, 187, 35 |
211 | 211, 211, 23, 187, 5 |
1, 1, 23, 187, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 211 x 1 x 1 x 23 x 187 x 5 = 635257700
Therefore, the lowest common multiple of 422,211,805,748,700 is 635257700.
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.
422 x 211 x 805 x 748 x 700 = 37531024916000
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.
422 : 1, 2, 211, 422
211 : 1, 211
805 : 1, 5, 7, 23, 35, 115, 161, 805
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,211,805,748,700, is 1.
Now, the common factors can be found like this.
422:2x 211
211:211
805:5x 7x 23
748:2x 2x 11x 17
700:2x 2x 5x 5x 7
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 2x 5x 7x 211 = 59080
Therefore, the value for common factors is 59080.
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 = 37531024916000/(1x59080)
LCM = 37531024916000/59080
LCM = 635257700
Thus, we can understand that the LCM of 422,211,805,748,700 is 635257700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 211, 805, 748, 700?
Answer: LCM of 422, 211, 805, 748, 700 is 635257700.
2. How to calculate the LCM of 422, 211, 805, 748, 700?
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 422, 211, 805, 748, 700.
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}.