LCM of 357, 880, 803, 280, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 880, 803, 280, 248 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 357, 880, 803, 280, 248. So, keep reading to learn more.
Given numbers are 357,880,803,280,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,880,803,280,248 is 710944080.
Find LCM of 357,880,803,280,248 with Prime Factorization
| 2 | 357, 880, 803, 280, 248 |
| 2 | 357, 440, 803, 140, 124 |
| 2 | 357, 220, 803, 70, 62 |
| 5 | 357, 110, 803, 35, 31 |
| 7 | 357, 22, 803, 7, 31 |
| 11 | 51, 22, 803, 1, 31 |
| 51, 2, 73, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 11 x 51 x 2 x 73 x 1 x 31 = 710944080
Therefore, the lowest common multiple of 357,880,803,280,248 is 710944080.
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.
357 x 880 x 803 x 280 x 248 = 17517662131200
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
803 : 1, 11, 73, 803
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,880,803,280,248, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
880:2x 2x 2x 2x 5x 11
803:11x 73
280:2x 2x 2x 5x 7
248:2x 2x 2x 31
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 2x 5x 7x 11 = 24640
Therefore, the value for common factors is 24640.
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 = 17517662131200/(1x24640)
LCM = 17517662131200/24640
LCM = 710944080
Thus, we can understand that the LCM of 357,880,803,280,248 is 710944080.
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FAQs on LCM of 357, 880, 803, 280, 248
1. What is the LCM of 357, 880, 803, 280, 248?
Answer: LCM of 357, 880, 803, 280, 248 is 710944080.
2. How to calculate the LCM of 357, 880, 803, 280, 248?
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 357, 880, 803, 280, 248.
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}.