LCM of 220, 618, 274, 480, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 618, 274, 480, 730 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 220, 618, 274, 480, 730. So, keep reading to learn more.
Given numbers are 220,618,274,480,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,618,274,480,730 is 5438943840.
Find LCM of 220,618,274,480,730 with Prime Factorization
| 2 | 220, 618, 274, 480, 730 |
| 2 | 110, 309, 137, 240, 365 |
| 3 | 55, 309, 137, 120, 365 |
| 5 | 55, 103, 137, 40, 365 |
| 11, 103, 137, 8, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 103 x 137 x 8 x 73 = 5438943840
Therefore, the lowest common multiple of 220,618,274,480,730 is 5438943840.
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.
220 x 618 x 274 x 480 x 730 = 13053465216000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
618 : 1, 2, 3, 6, 103, 206, 309, 618
274 : 1, 2, 137, 274
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
730 : 1, 2, 5, 10, 73, 146, 365, 730
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,618,274,480,730, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
618:2x 3x 103
274:2x 137
480:2x 2x 2x 2x 2x 3x 5
730:2x 5x 73
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 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 13053465216000/(2x1200)
LCM = 13053465216000/2400
LCM = 5438943840
Thus, we can understand that the LCM of 220,618,274,480,730 is 5438943840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 220, 618, 274, 480, 730
1. What is the LCM of 220, 618, 274, 480, 730?
Answer: LCM of 220, 618, 274, 480, 730 is 5438943840.
2. How to calculate the LCM of 220, 618, 274, 480, 730?
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 220, 618, 274, 480, 730.
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}.