Find the LCM of 221, 107, 749, 745, 210 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 221, 107, 749, 745, 210. So, keep reading to learn more.
Given numbers are 221,107,749,745,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,107,749,745,210 is 739914630.
Find LCM of 221,107,749,745,210 with Prime Factorization
5 | 221, 107, 749, 745, 210 |
7 | 221, 107, 749, 149, 42 |
107 | 221, 107, 107, 149, 6 |
221, 1, 1, 149, 6 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 107 x 221 x 1 x 1 x 149 x 6 = 739914630
Therefore, the lowest common multiple of 221,107,749,745,210 is 739914630.
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.
221 x 107 x 749 x 745 x 210 = 2770980289350
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.
221 : 1, 13, 17, 221
107 : 1, 107
749 : 1, 7, 107, 749
745 : 1, 5, 149, 745
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,107,749,745,210, is 1.
Now, the common factors can be found like this.
221:13x 17
107:107
749:7x 107
745:5x 149
210:2x 3x 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.
5x 7x 107 = 3745
Therefore, the value for common factors is 3745.
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 = 2770980289350/(1x3745)
LCM = 2770980289350/3745
LCM = 739914630
Thus, we can understand that the LCM of 221,107,749,745,210 is 739914630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 221, 107, 749, 745, 210?
Answer: LCM of 221, 107, 749, 745, 210 is 739914630.
2. How to calculate the LCM of 221, 107, 749, 745, 210?
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 221, 107, 749, 745, 210.
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}.