LCM of 521, 663, 378, 299, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 663, 378, 299, 176 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 521, 663, 378, 299, 176. So, keep reading to learn more.
Given numbers are 521,663,378,299,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,663,378,299,176 is 88091155152.
Find LCM of 521,663,378,299,176 with Prime Factorization
| 2 | 521, 663, 378, 299, 176 |
| 3 | 521, 663, 189, 299, 88 |
| 13 | 521, 221, 63, 299, 88 |
| 521, 17, 63, 23, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 521 x 17 x 63 x 23 x 88 = 88091155152
Therefore, the lowest common multiple of 521,663,378,299,176 is 88091155152.
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.
521 x 663 x 378 x 299 x 176 = 6871110101856
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.
521 : 1, 521
663 : 1, 3, 13, 17, 39, 51, 221, 663
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
299 : 1, 13, 23, 299
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,663,378,299,176, is 1.
Now, the common factors can be found like this.
521:521
663:3x 13x 17
378:2x 3x 3x 3x 7
299:13x 23
176:2x 2x 2x 2x 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 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 6871110101856/(1x78)
LCM = 6871110101856/78
LCM = 88091155152
Thus, we can understand that the LCM of 521,663,378,299,176 is 88091155152.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 521, 663, 378, 299, 176
1. What is the LCM of 521, 663, 378, 299, 176?
Answer: LCM of 521, 663, 378, 299, 176 is 88091155152.
2. How to calculate the LCM of 521, 663, 378, 299, 176?
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 521, 663, 378, 299, 176.
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}.