LCM of 541, 189, 628, 468, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 189, 628, 468, 369 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 541, 189, 628, 468, 369. So, keep reading to learn more.
Given numbers are 541,189,628,468,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,189,628,468,369 is 34225194276.
Find LCM of 541,189,628,468,369 with Prime Factorization
| 2 | 541, 189, 628, 468, 369 |
| 2 | 541, 189, 314, 234, 369 |
| 3 | 541, 189, 157, 117, 369 |
| 3 | 541, 63, 157, 39, 123 |
| 541, 21, 157, 13, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 541 x 21 x 157 x 13 x 41 = 34225194276
Therefore, the lowest common multiple of 541,189,628,468,369 is 34225194276.
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.
541 x 189 x 628 x 468 x 369 = 11088962945424
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.
541 : 1, 541
189 : 1, 3, 7, 9, 21, 27, 63, 189
628 : 1, 2, 4, 157, 314, 628
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,189,628,468,369, is 1.
Now, the common factors can be found like this.
541:541
189:3x 3x 3x 7
628:2x 2x 157
468:2x 2x 3x 3x 13
369:3x 3x 41
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 11088962945424/(1x324)
LCM = 11088962945424/324
LCM = 34225194276
Thus, we can understand that the LCM of 541,189,628,468,369 is 34225194276.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 541, 189, 628, 468, 369
1. What is the LCM of 541, 189, 628, 468, 369?
Answer: LCM of 541, 189, 628, 468, 369 is 34225194276.
2. How to calculate the LCM of 541, 189, 628, 468, 369?
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 541, 189, 628, 468, 369.
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}.