LCM of 267, 287, 778, 574, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 287, 778, 574, 283 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 267, 287, 778, 574, 283. So, keep reading to learn more.
Given numbers are 267,287,778,574,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,287,778,574,283 is 16871713446.
Find LCM of 267,287,778,574,283 with Prime Factorization
| 2 | 267, 287, 778, 574, 283 |
| 7 | 267, 287, 389, 287, 283 |
| 41 | 267, 41, 389, 41, 283 |
| 267, 1, 389, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 267 x 1 x 389 x 1 x 283 = 16871713446
Therefore, the lowest common multiple of 267,287,778,574,283 is 16871713446.
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.
267 x 287 x 778 x 574 x 283 = 9684363518004
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.
267 : 1, 3, 89, 267
287 : 1, 7, 41, 287
778 : 1, 2, 389, 778
574 : 1, 2, 7, 14, 41, 82, 287, 574
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,287,778,574,283, is 1.
Now, the common factors can be found like this.
267:3x 89
287:7x 41
778:2x 389
574:2x 7x 41
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 41 = 574
Therefore, the value for common factors is 574.
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 = 9684363518004/(1x574)
LCM = 9684363518004/574
LCM = 16871713446
Thus, we can understand that the LCM of 267,287,778,574,283 is 16871713446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 287, 778, 574, 283
1. What is the LCM of 267, 287, 778, 574, 283?
Answer: LCM of 267, 287, 778, 574, 283 is 16871713446.
2. How to calculate the LCM of 267, 287, 778, 574, 283?
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 267, 287, 778, 574, 283.
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}.