LCM of 384, 208, 767, 188, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 208, 767, 188, 764 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, 208, 767, 188, 764. So, keep reading to learn more.
Given numbers are 384,208,767,188,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,208,767,188,764 is 2643977856.
Find LCM of 384,208,767,188,764 with Prime Factorization
| 2 | 384, 208, 767, 188, 764 |
| 2 | 192, 104, 767, 94, 382 |
| 2 | 96, 52, 767, 47, 191 |
| 2 | 48, 26, 767, 47, 191 |
| 13 | 24, 13, 767, 47, 191 |
| 24, 1, 59, 47, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 24 x 1 x 59 x 47 x 191 = 2643977856
Therefore, the lowest common multiple of 384,208,767,188,764 is 2643977856.
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 208 x 767 x 188 x 764 = 8799158304768
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
767 : 1, 13, 59, 767
188 : 1, 2, 4, 47, 94, 188
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,208,767,188,764, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
208:2x 2x 2x 2x 13
767:13x 59
188:2x 2x 47
764:2x 2x 191
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 2x 2x 2x 13 = 3328
Therefore, the value for common factors is 3328.
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 = 8799158304768/(1x3328)
LCM = 8799158304768/3328
LCM = 2643977856
Thus, we can understand that the LCM of 384,208,767,188,764 is 2643977856.
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FAQs on LCM of 384, 208, 767, 188, 764
1. What is the LCM of 384, 208, 767, 188, 764?
Answer: LCM of 384, 208, 767, 188, 764 is 2643977856.
2. How to calculate the LCM of 384, 208, 767, 188, 764?
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, 208, 767, 188, 764.
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}.