LCM of 756, 652, 208, 652, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 652, 208, 652, 163 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 756, 652, 208, 652, 163. So, keep reading to learn more.
Given numbers are 756,652,208,652,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,652,208,652,163 is 6407856.
Find LCM of 756,652,208,652,163 with Prime Factorization
| 2 | 756, 652, 208, 652, 163 |
| 2 | 378, 326, 104, 326, 163 |
| 163 | 189, 163, 52, 163, 163 |
| 189, 1, 52, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 163 x 189 x 1 x 52 x 1 x 1 = 6407856
Therefore, the lowest common multiple of 756,652,208,652,163 is 6407856.
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.
756 x 652 x 208 x 652 x 163 = 10896020868096
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
652 : 1, 2, 4, 163, 326, 652
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
652 : 1, 2, 4, 163, 326, 652
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,652,208,652,163, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
652:2x 2x 163
208:2x 2x 2x 2x 13
652:2x 2x 163
163:163
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 163x 163 = 1700416
Therefore, the value for common factors is 1700416.
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 = 10896020868096/(1x1700416)
LCM = 10896020868096/1700416
LCM = 6407856
Thus, we can understand that the LCM of 756,652,208,652,163 is 6407856.
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FAQs on LCM of 756, 652, 208, 652, 163
1. What is the LCM of 756, 652, 208, 652, 163?
Answer: LCM of 756, 652, 208, 652, 163 is 6407856.
2. How to calculate the LCM of 756, 652, 208, 652, 163?
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 756, 652, 208, 652, 163.
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}.