LCM of 221, 507, 323, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 507, 323, 760 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 221, 507, 323, 760. So, keep reading to learn more.
Given numbers are 221,507,323,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,507,323,760 is 6550440.
Find LCM of 221,507,323,760 with Prime Factorization
| 13 | 221, 507, 323, 760 |
| 17 | 17, 39, 323, 760 |
| 19 | 1, 39, 19, 760 |
| 1, 39, 1, 40 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 19 x 1 x 39 x 1 x 40 = 6550440
Therefore, the lowest common multiple of 221,507,323,760 is 6550440.
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.
221 x 507 x 323 x 760 = 27505297560
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.
221 : 1, 13, 17, 221
507 : 1, 3, 13, 39, 169, 507
323 : 1, 17, 19, 323
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,507,323,760, is 1.
Now, the common factors can be found like this.
221:13x 17
507:3x 13x 13
323:17x 19
760:2x 2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17x 19 = 4199
Therefore, the value for common factors is 4199.
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 = 27505297560/(1x4199)
LCM = 27505297560/4199
LCM = 6550440
Thus, we can understand that the LCM of 221,507,323,760 is 6550440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 507, 323, 760
1. What is the LCM of 221, 507, 323, 760?
Answer: LCM of 221, 507, 323, 760 is 6550440.
2. How to calculate the LCM of 221, 507, 323, 760?
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 221, 507, 323, 760.
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}.