LCM of 384, 687, 803, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 687, 803, 132 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 384, 687, 803, 132. So, keep reading to learn more.
Given numbers are 384,687,803,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,687,803,132 is 70612608.
Find LCM of 384,687,803,132 with Prime Factorization
| 2 | 384, 687, 803, 132 |
| 2 | 192, 687, 803, 66 |
| 3 | 96, 687, 803, 33 |
| 11 | 32, 229, 803, 11 |
| 32, 229, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 32 x 229 x 73 x 1 = 70612608
Therefore, the lowest common multiple of 384,687,803,132 is 70612608.
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.
384 x 687 x 803 x 132 = 27962592768
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
687 : 1, 3, 229, 687
803 : 1, 11, 73, 803
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,687,803,132, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
687:3x 229
803:11x 73
132:2x 2x 3x 11
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 27962592768/(1x396)
LCM = 27962592768/396
LCM = 70612608
Thus, we can understand that the LCM of 384,687,803,132 is 70612608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 384, 687, 803, 132
1. What is the LCM of 384, 687, 803, 132?
Answer: LCM of 384, 687, 803, 132 is 70612608.
2. How to calculate the LCM of 384, 687, 803, 132?
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 384, 687, 803, 132.
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}.