LCM of 220, 685, 528, 521
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 685, 528, 521 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 220, 685, 528, 521. So, keep reading to learn more.
Given numbers are 220,685,528,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,685,528,521 is 188435280.
Find LCM of 220,685,528,521 with Prime Factorization
| 2 | 220, 685, 528, 521 |
| 2 | 110, 685, 264, 521 |
| 5 | 55, 685, 132, 521 |
| 11 | 11, 137, 132, 521 |
| 1, 137, 12, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 137 x 12 x 521 = 188435280
Therefore, the lowest common multiple of 220,685,528,521 is 188435280.
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.
220 x 685 x 528 x 521 = 41455761600
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
685 : 1, 5, 137, 685
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,685,528,521, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
685:5x 137
528:2x 2x 2x 2x 3x 11
521:521
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 41455761600/(1x220)
LCM = 41455761600/220
LCM = 188435280
Thus, we can understand that the LCM of 220,685,528,521 is 188435280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 220, 685, 528, 521
1. What is the LCM of 220, 685, 528, 521?
Answer: LCM of 220, 685, 528, 521 is 188435280.
2. How to calculate the LCM of 220, 685, 528, 521?
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 220, 685, 528, 521.
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}.