LCM of 552, 928, 674, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 928, 674, 252 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, 928, 674, 252. So, keep reading to learn more.
Given numbers are 552,928,674,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,928,674,252 is 453154464.
Find LCM of 552,928,674,252 with Prime Factorization
| 2 | 552, 928, 674, 252 |
| 2 | 276, 464, 337, 126 |
| 2 | 138, 232, 337, 63 |
| 3 | 69, 116, 337, 63 |
| 23, 116, 337, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 116 x 337 x 21 = 453154464
Therefore, the lowest common multiple of 552,928,674,252 is 453154464.
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 928 x 674 x 252 = 87005657088
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
674 : 1, 2, 337, 674
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,928,674,252, is 2.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
928:2x 2x 2x 2x 2x 29
674:2x 337
252:2x 2x 3x 3x 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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 87005657088/(2x96)
LCM = 87005657088/192
LCM = 453154464
Thus, we can understand that the LCM of 552,928,674,252 is 453154464.
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FAQs on LCM of 552, 928, 674, 252
1. What is the LCM of 552, 928, 674, 252?
Answer: LCM of 552, 928, 674, 252 is 453154464.
2. How to calculate the LCM of 552, 928, 674, 252?
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, 928, 674, 252.
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}.