LCM of 332, 920, 506, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 920, 506, 269 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 332, 920, 506, 269. So, keep reading to learn more.
Given numbers are 332,920,506,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,920,506,269 is 225949240.
Find LCM of 332,920,506,269 with Prime Factorization
| 2 | 332, 920, 506, 269 |
| 2 | 166, 460, 253, 269 |
| 23 | 83, 230, 253, 269 |
| 83, 10, 11, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 83 x 10 x 11 x 269 = 225949240
Therefore, the lowest common multiple of 332,920,506,269 is 225949240.
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.
332 x 920 x 506 x 269 = 41574660160
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.
332 : 1, 2, 4, 83, 166, 332
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
506 : 1, 2, 11, 22, 23, 46, 253, 506
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,920,506,269, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
920:2x 2x 2x 5x 23
506:2x 11x 23
269:269
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 23 = 184
Therefore, the value for common factors is 184.
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 = 41574660160/(1x184)
LCM = 41574660160/184
LCM = 225949240
Thus, we can understand that the LCM of 332,920,506,269 is 225949240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 332, 920, 506, 269
1. What is the LCM of 332, 920, 506, 269?
Answer: LCM of 332, 920, 506, 269 is 225949240.
2. How to calculate the LCM of 332, 920, 506, 269?
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 332, 920, 506, 269.
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}.