LCM of 882, 506, 616, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 506, 616, 280 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 882, 506, 616, 280. So, keep reading to learn more.
Given numbers are 882,506,616,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,506,616,280 is 4462920.
Find LCM of 882,506,616,280 with Prime Factorization
| 2 | 882, 506, 616, 280 |
| 2 | 441, 253, 308, 140 |
| 2 | 441, 253, 154, 70 |
| 7 | 441, 253, 77, 35 |
| 11 | 63, 253, 11, 5 |
| 63, 23, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 63 x 23 x 1 x 5 = 4462920
Therefore, the lowest common multiple of 882,506,616,280 is 4462920.
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.
882 x 506 x 616 x 280 = 76976444160
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
506 : 1, 2, 11, 22, 23, 46, 253, 506
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,506,616,280, is 2.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
506:2x 11x 23
616:2x 2x 2x 7x 11
280:2x 2x 2x 5x 7
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 7x 7x 11 = 8624
Therefore, the value for common factors is 8624.
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 = 76976444160/(2x8624)
LCM = 76976444160/17248
LCM = 4462920
Thus, we can understand that the LCM of 882,506,616,280 is 4462920.
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FAQs on LCM of 882, 506, 616, 280
1. What is the LCM of 882, 506, 616, 280?
Answer: LCM of 882, 506, 616, 280 is 4462920.
2. How to calculate the LCM of 882, 506, 616, 280?
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 882, 506, 616, 280.
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}.