LCM of 884, 470, 821, 540, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 470, 821, 540, 306 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 884, 470, 821, 540, 306. So, keep reading to learn more.
Given numbers are 884,470,821,540,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,470,821,540,306 is 4604972580.
Find LCM of 884,470,821,540,306 with Prime Factorization
| 2 | 884, 470, 821, 540, 306 |
| 2 | 442, 235, 821, 270, 153 |
| 3 | 221, 235, 821, 135, 153 |
| 3 | 221, 235, 821, 45, 51 |
| 5 | 221, 235, 821, 15, 17 |
| 17 | 221, 47, 821, 3, 17 |
| 13, 47, 821, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 13 x 47 x 821 x 3 x 1 = 4604972580
Therefore, the lowest common multiple of 884,470,821,540,306 is 4604972580.
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.
884 x 470 x 821 x 540 x 306 = 56364864379200
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
470 : 1, 2, 5, 10, 47, 94, 235, 470
821 : 1, 821
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,470,821,540,306, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
470:2x 5x 47
821:821
540:2x 2x 3x 3x 3x 5
306:2x 3x 3x 17
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 3x 3x 5x 17 = 12240
Therefore, the value for common factors is 12240.
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 = 56364864379200/(1x12240)
LCM = 56364864379200/12240
LCM = 4604972580
Thus, we can understand that the LCM of 884,470,821,540,306 is 4604972580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 884, 470, 821, 540, 306
1. What is the LCM of 884, 470, 821, 540, 306?
Answer: LCM of 884, 470, 821, 540, 306 is 4604972580.
2. How to calculate the LCM of 884, 470, 821, 540, 306?
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 884, 470, 821, 540, 306.
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}.