LCM of 214, 542, 507, 441, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 542, 507, 441, 260 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 214, 542, 507, 441, 260. So, keep reading to learn more.
Given numbers are 214,542,507,441,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,542,507,441,260 is 43222348260.
Find LCM of 214,542,507,441,260 with Prime Factorization
| 2 | 214, 542, 507, 441, 260 |
| 3 | 107, 271, 507, 441, 130 |
| 13 | 107, 271, 169, 147, 130 |
| 107, 271, 13, 147, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 107 x 271 x 13 x 147 x 10 = 43222348260
Therefore, the lowest common multiple of 214,542,507,441,260 is 43222348260.
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.
214 x 542 x 507 x 441 x 260 = 6742686328560
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.
214 : 1, 2, 107, 214
542 : 1, 2, 271, 542
507 : 1, 3, 13, 39, 169, 507
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,542,507,441,260, is 1.
Now, the common factors can be found like this.
214:2x 107
542:2x 271
507:3x 13x 13
441:3x 3x 7x 7
260:2x 2x 5x 13
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 13 = 156
Therefore, the value for common factors is 156.
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 = 6742686328560/(1x156)
LCM = 6742686328560/156
LCM = 43222348260
Thus, we can understand that the LCM of 214,542,507,441,260 is 43222348260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 214, 542, 507, 441, 260
1. What is the LCM of 214, 542, 507, 441, 260?
Answer: LCM of 214, 542, 507, 441, 260 is 43222348260.
2. How to calculate the LCM of 214, 542, 507, 441, 260?
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 214, 542, 507, 441, 260.
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}.