LCM of 882, 292, 280, 707, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 292, 280, 707, 539 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, 292, 280, 707, 539. So, keep reading to learn more.
Given numbers are 882,292,280,707,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,292,280,707,539 is 1430656920.
Find LCM of 882,292,280,707,539 with Prime Factorization
| 2 | 882, 292, 280, 707, 539 |
| 2 | 441, 146, 140, 707, 539 |
| 7 | 441, 73, 70, 707, 539 |
| 7 | 63, 73, 10, 101, 77 |
| 9, 73, 10, 101, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 9 x 73 x 10 x 101 x 11 = 1430656920
Therefore, the lowest common multiple of 882,292,280,707,539 is 1430656920.
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 292 x 280 x 707 x 539 = 27480058119360
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
292 : 1, 2, 4, 73, 146, 292
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
707 : 1, 7, 101, 707
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,292,280,707,539, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
292:2x 2x 73
280:2x 2x 2x 5x 7
707:7x 101
539:7x 7x 11
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 7x 7x 7x 7 = 19208
Therefore, the value for common factors is 19208.
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 = 27480058119360/(1x19208)
LCM = 27480058119360/19208
LCM = 1430656920
Thus, we can understand that the LCM of 882,292,280,707,539 is 1430656920.
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FAQs on LCM of 882, 292, 280, 707, 539
1. What is the LCM of 882, 292, 280, 707, 539?
Answer: LCM of 882, 292, 280, 707, 539 is 1430656920.
2. How to calculate the LCM of 882, 292, 280, 707, 539?
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, 292, 280, 707, 539.
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}.