LCM of 696, 262, 928, 609, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 262, 928, 609, 356 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 696, 262, 928, 609, 356. So, keep reading to learn more.
Given numbers are 696,262,928,609,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,262,928,609,356 is 227210592.
Find LCM of 696,262,928,609,356 with Prime Factorization
| 2 | 696, 262, 928, 609, 356 |
| 2 | 348, 131, 464, 609, 178 |
| 2 | 174, 131, 232, 609, 89 |
| 3 | 87, 131, 116, 609, 89 |
| 29 | 29, 131, 116, 203, 89 |
| 1, 131, 4, 7, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 1 x 131 x 4 x 7 x 89 = 227210592
Therefore, the lowest common multiple of 696,262,928,609,356 is 227210592.
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.
696 x 262 x 928 x 609 x 356 = 36688148711424
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
262 : 1, 2, 131, 262
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
609 : 1, 3, 7, 21, 29, 87, 203, 609
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,262,928,609,356, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
262:2x 131
928:2x 2x 2x 2x 2x 29
609:3x 7x 29
356:2x 2x 89
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 3x 29x 29 = 161472
Therefore, the value for common factors is 161472.
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 = 36688148711424/(1x161472)
LCM = 36688148711424/161472
LCM = 227210592
Thus, we can understand that the LCM of 696,262,928,609,356 is 227210592.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 696, 262, 928, 609, 356
1. What is the LCM of 696, 262, 928, 609, 356?
Answer: LCM of 696, 262, 928, 609, 356 is 227210592.
2. How to calculate the LCM of 696, 262, 928, 609, 356?
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 696, 262, 928, 609, 356.
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}.