Find the LCM of 230, 396, 316, 550, 652 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 230, 396, 316, 550, 652. So, keep reading to learn more.
Given numbers are 230,396,316,550,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,396,316,550,652 is 2932092900.
Find LCM of 230,396,316,550,652 with Prime Factorization
2 | 230, 396, 316, 550, 652 |
2 | 115, 198, 158, 275, 326 |
5 | 115, 99, 79, 275, 163 |
11 | 23, 99, 79, 55, 163 |
23, 9, 79, 5, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 9 x 79 x 5 x 163 = 2932092900
Therefore, the lowest common multiple of 230,396,316,550,652 is 2932092900.
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.
230 x 396 x 316 x 550 x 652 = 10320967008000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
316 : 1, 2, 4, 79, 158, 316
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
652 : 1, 2, 4, 163, 326, 652
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,396,316,550,652, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
396:2x 2x 3x 3x 11
316:2x 2x 79
550:2x 5x 5x 11
652:2x 2x 163
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 2x 2x 5x 11 = 1760
Therefore, the value for common factors is 1760.
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 = 10320967008000/(2x1760)
LCM = 10320967008000/3520
LCM = 2932092900
Thus, we can understand that the LCM of 230,396,316,550,652 is 2932092900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 396, 316, 550, 652?
Answer: LCM of 230, 396, 316, 550, 652 is 2932092900.
2. How to calculate the LCM of 230, 396, 316, 550, 652?
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 230, 396, 316, 550, 652.
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}.