Find the LCM of 513, 295, 409, 752, 375 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 513, 295, 409, 752, 375. So, keep reading to learn more.
Given numbers are 513,295,409,752,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,295,409,752,375 is 1163645082000.
Find LCM of 513,295,409,752,375 with Prime Factorization
3 | 513, 295, 409, 752, 375 |
5 | 171, 295, 409, 752, 125 |
171, 59, 409, 752, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 171 x 59 x 409 x 752 x 25 = 1163645082000
Therefore, the lowest common multiple of 513,295,409,752,375 is 1163645082000.
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.
513 x 295 x 409 x 752 x 375 = 17454676230000
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
295 : 1, 5, 59, 295
409 : 1, 409
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,295,409,752,375, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
295:5x 59
409:409
752:2x 2x 2x 2x 47
375:3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 17454676230000/(1x15)
LCM = 17454676230000/15
LCM = 1163645082000
Thus, we can understand that the LCM of 513,295,409,752,375 is 1163645082000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 295, 409, 752, 375?
Answer: LCM of 513, 295, 409, 752, 375 is 1163645082000.
2. How to calculate the LCM of 513, 295, 409, 752, 375?
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 513, 295, 409, 752, 375.
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}.