LCM of 747, 872, 736, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 872, 736, 684 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 747, 872, 736, 684. So, keep reading to learn more.
Given numbers are 747,872,736,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,872,736,684 is 1138619232.
Find LCM of 747,872,736,684 with Prime Factorization
| 2 | 747, 872, 736, 684 |
| 2 | 747, 436, 368, 342 |
| 2 | 747, 218, 184, 171 |
| 3 | 747, 109, 92, 171 |
| 3 | 249, 109, 92, 57 |
| 83, 109, 92, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 83 x 109 x 92 x 19 = 1138619232
Therefore, the lowest common multiple of 747,872,736,684 is 1138619232.
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.
747 x 872 x 736 x 684 = 327922338816
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.
747 : 1, 3, 9, 83, 249, 747
872 : 1, 2, 4, 8, 109, 218, 436, 872
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,872,736,684, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
872:2x 2x 2x 109
736:2x 2x 2x 2x 2x 23
684:2x 2x 3x 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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 327922338816/(1x288)
LCM = 327922338816/288
LCM = 1138619232
Thus, we can understand that the LCM of 747,872,736,684 is 1138619232.
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FAQs on LCM of 747, 872, 736, 684
1. What is the LCM of 747, 872, 736, 684?
Answer: LCM of 747, 872, 736, 684 is 1138619232.
2. How to calculate the LCM of 747, 872, 736, 684?
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 747, 872, 736, 684.
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}.