Find the LCM of 590, 759, 370, 459, 713 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 590, 759, 370, 459, 713. So, keep reading to learn more.
Given numbers are 590,759,370,459,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,759,370,459,713 is 78586624710.
Find LCM of 590,759,370,459,713 with Prime Factorization
2 | 590, 759, 370, 459, 713 |
3 | 295, 759, 185, 459, 713 |
5 | 295, 253, 185, 153, 713 |
23 | 59, 253, 37, 153, 713 |
59, 11, 37, 153, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 59 x 11 x 37 x 153 x 31 = 78586624710
Therefore, the lowest common multiple of 590,759,370,459,713 is 78586624710.
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.
590 x 759 x 370 x 459 x 713 = 54224771049900
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
759 : 1, 3, 11, 23, 33, 69, 253, 759
370 : 1, 2, 5, 10, 37, 74, 185, 370
459 : 1, 3, 9, 17, 27, 51, 153, 459
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,759,370,459,713, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
759:3x 11x 23
370:2x 5x 37
459:3x 3x 3x 17
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 23 = 690
Therefore, the value for common factors is 690.
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 = 54224771049900/(1x690)
LCM = 54224771049900/690
LCM = 78586624710
Thus, we can understand that the LCM of 590,759,370,459,713 is 78586624710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 759, 370, 459, 713?
Answer: LCM of 590, 759, 370, 459, 713 is 78586624710.
2. How to calculate the LCM of 590, 759, 370, 459, 713?
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 590, 759, 370, 459, 713.
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}.