LCM of 282, 511, 207, 176, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 511, 207, 176, 924 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 282, 511, 207, 176, 924. So, keep reading to learn more.
Given numbers are 282,511,207,176,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,511,207,176,924 is 874987344.
Find LCM of 282,511,207,176,924 with Prime Factorization
| 2 | 282, 511, 207, 176, 924 |
| 2 | 141, 511, 207, 88, 462 |
| 3 | 141, 511, 207, 44, 231 |
| 7 | 47, 511, 69, 44, 77 |
| 11 | 47, 73, 69, 44, 11 |
| 47, 73, 69, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 47 x 73 x 69 x 4 x 1 = 874987344
Therefore, the lowest common multiple of 282,511,207,176,924 is 874987344.
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.
282 x 511 x 207 x 176 x 924 = 4850929835136
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
511 : 1, 7, 73, 511
207 : 1, 3, 9, 23, 69, 207
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,511,207,176,924, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
511:7x 73
207:3x 3x 23
176:2x 2x 2x 2x 11
924:2x 2x 3x 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 3x 3x 7x 11 = 5544
Therefore, the value for common factors is 5544.
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 = 4850929835136/(1x5544)
LCM = 4850929835136/5544
LCM = 874987344
Thus, we can understand that the LCM of 282,511,207,176,924 is 874987344.
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FAQs on LCM of 282, 511, 207, 176, 924
1. What is the LCM of 282, 511, 207, 176, 924?
Answer: LCM of 282, 511, 207, 176, 924 is 874987344.
2. How to calculate the LCM of 282, 511, 207, 176, 924?
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 282, 511, 207, 176, 924.
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}.