LCM of 754, 288, 828, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 288, 828, 892 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 754, 288, 828, 892. So, keep reading to learn more.
Given numbers are 754,288,828,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,288,828,892 is 556886304.
Find LCM of 754,288,828,892 with Prime Factorization
| 2 | 754, 288, 828, 892 |
| 2 | 377, 144, 414, 446 |
| 3 | 377, 72, 207, 223 |
| 3 | 377, 24, 69, 223 |
| 377, 8, 23, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 377 x 8 x 23 x 223 = 556886304
Therefore, the lowest common multiple of 754,288,828,892 is 556886304.
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.
754 x 288 x 828 x 892 = 160383255552
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
892 : 1, 2, 4, 223, 446, 892
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,288,828,892, is 2.
Now, the common factors can be found like this.
754:2x 13x 29
288:2x 2x 2x 2x 2x 3x 3
828:2x 2x 3x 3x 23
892:2x 2x 223
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 160383255552/(2x144)
LCM = 160383255552/288
LCM = 556886304
Thus, we can understand that the LCM of 754,288,828,892 is 556886304.
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FAQs on LCM of 754, 288, 828, 892
1. What is the LCM of 754, 288, 828, 892?
Answer: LCM of 754, 288, 828, 892 is 556886304.
2. How to calculate the LCM of 754, 288, 828, 892?
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 754, 288, 828, 892.
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}.