LCM of 8, 280, 420, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8, 280, 420, 278 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 8, 280, 420, 278. So, keep reading to learn more.
Given numbers are 8,280,420,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8,280,420,278 is 116760.
Find LCM of 8,280,420,278 with Prime Factorization
| 2 | 8, 280, 420, 278 |
| 2 | 4, 140, 210, 139 |
| 2 | 2, 70, 105, 139 |
| 5 | 1, 35, 105, 139 |
| 7 | 1, 7, 21, 139 |
| 1, 1, 3, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 1 x 1 x 3 x 139 = 116760
Therefore, the lowest common multiple of 8,280,420,278 is 116760.
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.
8 x 280 x 420 x 278 = 261542400
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.
8 : 1, 2, 4, 8
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
278 : 1, 2, 139, 278
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,280,420,278, is 2.
Now, the common factors can be found like this.
8:2x 2x 2
280:2x 2x 2x 5x 7
420:2x 2x 3x 5x 7
278:2x 139
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 7 = 1120
Therefore, the value for common factors is 1120.
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 = 261542400/(2x1120)
LCM = 261542400/2240
LCM = 116760
Thus, we can understand that the LCM of 8,280,420,278 is 116760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8, 280, 420, 278
1. What is the LCM of 8, 280, 420, 278?
Answer: LCM of 8, 280, 420, 278 is 116760.
2. How to calculate the LCM of 8, 280, 420, 278?
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 8, 280, 420, 278.
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}.