LCM of 552, 924, 380, 451, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 924, 380, 451, 456 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 552, 924, 380, 451, 456. So, keep reading to learn more.
Given numbers are 552,924,380,451,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,924,380,451,456 is 165553080.
Find LCM of 552,924,380,451,456 with Prime Factorization
| 2 | 552, 924, 380, 451, 456 |
| 2 | 276, 462, 190, 451, 228 |
| 2 | 138, 231, 95, 451, 114 |
| 3 | 69, 231, 95, 451, 57 |
| 11 | 23, 77, 95, 451, 19 |
| 19 | 23, 7, 95, 41, 19 |
| 23, 7, 5, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 19 x 23 x 7 x 5 x 41 x 1 = 165553080
Therefore, the lowest common multiple of 552,924,380,451,456 is 165553080.
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.
552 x 924 x 380 x 451 x 456 = 39859883965440
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
451 : 1, 11, 41, 451
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,924,380,451,456, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
924:2x 2x 3x 7x 11
380:2x 2x 5x 19
451:11x 41
456:2x 2x 2x 3x 19
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 2x 2x 2x 3x 3x 11x 19 = 240768
Therefore, the value for common factors is 240768.
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 = 39859883965440/(1x240768)
LCM = 39859883965440/240768
LCM = 165553080
Thus, we can understand that the LCM of 552,924,380,451,456 is 165553080.
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FAQs on LCM of 552, 924, 380, 451, 456
1. What is the LCM of 552, 924, 380, 451, 456?
Answer: LCM of 552, 924, 380, 451, 456 is 165553080.
2. How to calculate the LCM of 552, 924, 380, 451, 456?
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 552, 924, 380, 451, 456.
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}.