Find the LCM of 387, 460, 293, 501, 759 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 387, 460, 293, 501, 759. So, keep reading to learn more.
Given numbers are 387,460,293,501,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,460,293,501,759 is 95817662820.
Find LCM of 387,460,293,501,759 with Prime Factorization
3 | 387, 460, 293, 501, 759 |
23 | 129, 460, 293, 167, 253 |
129, 20, 293, 167, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 129 x 20 x 293 x 167 x 11 = 95817662820
Therefore, the lowest common multiple of 387,460,293,501,759 is 95817662820.
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.
387 x 460 x 293 x 501 x 759 = 19834256203740
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.
387 : 1, 3, 9, 43, 129, 387
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
293 : 1, 293
501 : 1, 3, 167, 501
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,460,293,501,759, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
460:2x 2x 5x 23
293:293
501:3x 167
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 19834256203740/(1x207)
LCM = 19834256203740/207
LCM = 95817662820
Thus, we can understand that the LCM of 387,460,293,501,759 is 95817662820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 387, 460, 293, 501, 759?
Answer: LCM of 387, 460, 293, 501, 759 is 95817662820.
2. How to calculate the LCM of 387, 460, 293, 501, 759?
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 387, 460, 293, 501, 759.
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}.