LCM of 484, 616, 220, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 616, 220, 950 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 484, 616, 220, 950. So, keep reading to learn more.
Given numbers are 484,616,220,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,616,220,950 is 3218600.
Find LCM of 484,616,220,950 with Prime Factorization
| 2 | 484, 616, 220, 950 |
| 2 | 242, 308, 110, 475 |
| 5 | 121, 154, 55, 475 |
| 11 | 121, 154, 11, 95 |
| 1, 14, 11, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 14 x 11 x 95 = 3218600
Therefore, the lowest common multiple of 484,616,220,950 is 3218600.
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.
484 x 616 x 220 x 950 = 62312096000
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,616,220,950, is 2.
Now, the common factors can be found like this.
484:2x 2x 11x 11
616:2x 2x 2x 7x 11
220:2x 2x 5x 11
950:2x 5x 5x 19
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 5x 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 62312096000/(2x9680)
LCM = 62312096000/19360
LCM = 3218600
Thus, we can understand that the LCM of 484,616,220,950 is 3218600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 616, 220, 950
1. What is the LCM of 484, 616, 220, 950?
Answer: LCM of 484, 616, 220, 950 is 3218600.
2. How to calculate the LCM of 484, 616, 220, 950?
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 484, 616, 220, 950.
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}.