LCM of 787, 768, 206, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 768, 206, 152 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 787, 768, 206, 152. So, keep reading to learn more.
Given numbers are 787,768,206,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,768,206,152 is 1182842112.
Find LCM of 787,768,206,152 with Prime Factorization
| 2 | 787, 768, 206, 152 |
| 2 | 787, 384, 103, 76 |
| 2 | 787, 192, 103, 38 |
| 787, 96, 103, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 787 x 96 x 103 x 19 = 1182842112
Therefore, the lowest common multiple of 787,768,206,152 is 1182842112.
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.
787 x 768 x 206 x 152 = 18925473792
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.
787 : 1, 787
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
206 : 1, 2, 103, 206
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,768,206,152, is 1.
Now, the common factors can be found like this.
787:787
768:2x 2x 2x 2x 2x 2x 2x 2x 3
206:2x 103
152:2x 2x 2x 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 2 = 16
Therefore, the value for common factors is 16.
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 = 18925473792/(1x16)
LCM = 18925473792/16
LCM = 1182842112
Thus, we can understand that the LCM of 787,768,206,152 is 1182842112.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 787, 768, 206, 152
1. What is the LCM of 787, 768, 206, 152?
Answer: LCM of 787, 768, 206, 152 is 1182842112.
2. How to calculate the LCM of 787, 768, 206, 152?
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 787, 768, 206, 152.
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}.