Find the LCM of 709, 234, 275, 242 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 709, 234, 275, 242. So, keep reading to learn more.
Given numbers are 709,234,275,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,234,275,242 is 501865650.
Find LCM of 709,234,275,242 with Prime Factorization
2 | 709, 234, 275, 242 |
11 | 709, 117, 275, 121 |
709, 117, 25, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 709 x 117 x 25 x 11 = 501865650
Therefore, the lowest common multiple of 709,234,275,242 is 501865650.
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.
709 x 234 x 275 x 242 = 11041044300
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.
709 : 1, 709
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
275 : 1, 5, 11, 25, 55, 275
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,234,275,242, is 1.
Now, the common factors can be found like this.
709:709
234:2x 3x 3x 13
275:5x 5x 11
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 11041044300/(1x22)
LCM = 11041044300/22
LCM = 501865650
Thus, we can understand that the LCM of 709,234,275,242 is 501865650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 234, 275, 242?
Answer: LCM of 709, 234, 275, 242 is 501865650.
2. How to calculate the LCM of 709, 234, 275, 242?
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 709, 234, 275, 242.
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}.