LCM of 824, 309, 514, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 309, 514, 964 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 824, 309, 514, 964. So, keep reading to learn more.
Given numbers are 824,309,514,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,309,514,964 is 153108264.
Find LCM of 824,309,514,964 with Prime Factorization
| 2 | 824, 309, 514, 964 |
| 2 | 412, 309, 257, 482 |
| 103 | 206, 309, 257, 241 |
| 2, 3, 257, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 2 x 3 x 257 x 241 = 153108264
Therefore, the lowest common multiple of 824,309,514,964 is 153108264.
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.
824 x 309 x 514 x 964 = 126161209536
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
309 : 1, 3, 103, 309
514 : 1, 2, 257, 514
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,309,514,964, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
309:3x 103
514:2x 257
964:2x 2x 241
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 103 = 824
Therefore, the value for common factors is 824.
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 = 126161209536/(1x824)
LCM = 126161209536/824
LCM = 153108264
Thus, we can understand that the LCM of 824,309,514,964 is 153108264.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 309, 514, 964
1. What is the LCM of 824, 309, 514, 964?
Answer: LCM of 824, 309, 514, 964 is 153108264.
2. How to calculate the LCM of 824, 309, 514, 964?
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 824, 309, 514, 964.
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}.