LCM of 263, 513, 736, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 513, 736, 368 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 263, 513, 736, 368. So, keep reading to learn more.
Given numbers are 263,513,736,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,513,736,368 is 99300384.
Find LCM of 263,513,736,368 with Prime Factorization
| 2 | 263, 513, 736, 368 |
| 2 | 263, 513, 368, 184 |
| 2 | 263, 513, 92, 184 |
| 2 | 263, 513, 46, 92 |
| 23 | 263, 513, 23, 46 |
| 263, 513, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 263 x 513 x 1 x 2 = 99300384
Therefore, the lowest common multiple of 263,513,736,368 is 99300384.
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.
263 x 513 x 736 x 368 = 36542541312
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.
263 : 1, 263
513 : 1, 3, 9, 19, 27, 57, 171, 513
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,513,736,368, is 1.
Now, the common factors can be found like this.
263:263
513:3x 3x 3x 19
736:2x 2x 2x 2x 2x 23
368:2x 2x 2x 2x 23
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 23 = 368
Therefore, the value for common factors is 368.
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 = 36542541312/(1x368)
LCM = 36542541312/368
LCM = 99300384
Thus, we can understand that the LCM of 263,513,736,368 is 99300384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 263, 513, 736, 368
1. What is the LCM of 263, 513, 736, 368?
Answer: LCM of 263, 513, 736, 368 is 99300384.
2. How to calculate the LCM of 263, 513, 736, 368?
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 263, 513, 736, 368.
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}.