LCM of 550, 680, 350, 205, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 550, 680, 350, 205, 948 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 550, 680, 350, 205, 948. So, keep reading to learn more.
Given numbers are 550,680,350,205,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,680,350,205,948 is 2543910600.
Find LCM of 550,680,350,205,948 with Prime Factorization
| 2 | 550, 680, 350, 205, 948 |
| 2 | 275, 340, 175, 205, 474 |
| 5 | 275, 170, 175, 205, 237 |
| 5 | 55, 34, 35, 41, 237 |
| 11, 34, 7, 41, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 11 x 34 x 7 x 41 x 237 = 2543910600
Therefore, the lowest common multiple of 550,680,350,205,948 is 2543910600.
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.
550 x 680 x 350 x 205 x 948 = 25439106000000
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
205 : 1, 5, 41, 205
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,680,350,205,948, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
680:2x 2x 2x 5x 17
350:2x 5x 5x 7
205:5x 41
948:2x 2x 3x 79
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 5x 5x 5 = 10000
Therefore, the value for common factors is 10000.
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 = 25439106000000/(1x10000)
LCM = 25439106000000/10000
LCM = 2543910600
Thus, we can understand that the LCM of 550,680,350,205,948 is 2543910600.
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FAQs on LCM of 550, 680, 350, 205, 948
1. What is the LCM of 550, 680, 350, 205, 948?
Answer: LCM of 550, 680, 350, 205, 948 is 2543910600.
2. How to calculate the LCM of 550, 680, 350, 205, 948?
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 550, 680, 350, 205, 948.
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}.