LCM of 746, 874, 504, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 874, 504, 288 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 746, 874, 504, 288. So, keep reading to learn more.
Given numbers are 746,874,504,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,874,504,288 is 328610016.
Find LCM of 746,874,504,288 with Prime Factorization
| 2 | 746, 874, 504, 288 |
| 2 | 373, 437, 252, 144 |
| 2 | 373, 437, 126, 72 |
| 3 | 373, 437, 63, 36 |
| 3 | 373, 437, 21, 12 |
| 373, 437, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 373 x 437 x 7 x 4 = 328610016
Therefore, the lowest common multiple of 746,874,504,288 is 328610016.
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.
746 x 874 x 504 x 288 = 94639684608
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.
746 : 1, 2, 373, 746
874 : 1, 2, 19, 23, 38, 46, 437, 874
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,874,504,288, is 2.
Now, the common factors can be found like this.
746:2x 373
874:2x 19x 23
504:2x 2x 2x 3x 3x 7
288:2x 2x 2x 2x 2x 3x 3
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 = 94639684608/(2x144)
LCM = 94639684608/288
LCM = 328610016
Thus, we can understand that the LCM of 746,874,504,288 is 328610016.
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FAQs on LCM of 746, 874, 504, 288
1. What is the LCM of 746, 874, 504, 288?
Answer: LCM of 746, 874, 504, 288 is 328610016.
2. How to calculate the LCM of 746, 874, 504, 288?
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 746, 874, 504, 288.
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}.