LCM of 302, 384, 979, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 384, 979, 513 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 302, 384, 979, 513. So, keep reading to learn more.
Given numbers are 302,384,979,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,384,979,513 is 9707043456.
Find LCM of 302,384,979,513 with Prime Factorization
| 2 | 302, 384, 979, 513 |
| 3 | 151, 192, 979, 513 |
| 151, 64, 979, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 64 x 979 x 171 = 9707043456
Therefore, the lowest common multiple of 302,384,979,513 is 9707043456.
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.
302 x 384 x 979 x 513 = 58242260736
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.
302 : 1, 2, 151, 302
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
979 : 1, 11, 89, 979
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,384,979,513, is 1.
Now, the common factors can be found like this.
302:2x 151
384:2x 2x 2x 2x 2x 2x 2x 3
979:11x 89
513:3x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 58242260736/(1x6)
LCM = 58242260736/6
LCM = 9707043456
Thus, we can understand that the LCM of 302,384,979,513 is 9707043456.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 302, 384, 979, 513
1. What is the LCM of 302, 384, 979, 513?
Answer: LCM of 302, 384, 979, 513 is 9707043456.
2. How to calculate the LCM of 302, 384, 979, 513?
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 302, 384, 979, 513.
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}.