LCM of 266, 879, 219, 280, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 879, 219, 280, 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 266, 879, 219, 280, 730. So, keep reading to learn more.
Given numbers are 266,879,219,280,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,879,219,280,730 is 341368440.
Find LCM of 266,879,219,280,730 with Prime Factorization
| 2 | 266, 879, 219, 280, 730 |
| 3 | 133, 879, 219, 140, 365 |
| 5 | 133, 293, 73, 140, 365 |
| 7 | 133, 293, 73, 28, 73 |
| 73 | 19, 293, 73, 4, 73 |
| 19, 293, 1, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 73 x 19 x 293 x 1 x 4 x 1 = 341368440
Therefore, the lowest common multiple of 266,879,219,280,730 is 341368440.
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.
266 x 879 x 219 x 280 x 730 = 10466356370400
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
879 : 1, 3, 293, 879
219 : 1, 3, 73, 219
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,879,219,280,730, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
879:3x 293
219:3x 73
280:2x 2x 2x 5x 7
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 3x 5x 7x 73 = 30660
Therefore, the value for common factors is 30660.
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 = 10466356370400/(1x30660)
LCM = 10466356370400/30660
LCM = 341368440
Thus, we can understand that the LCM of 266,879,219,280,730 is 341368440.
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FAQs on LCM of 266, 879, 219, 280, 730
1. What is the LCM of 266, 879, 219, 280, 730?
Answer: LCM of 266, 879, 219, 280, 730 is 341368440.
2. How to calculate the LCM of 266, 879, 219, 280, 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 266, 879, 219, 280, 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}.