Find the LCM of 590, 870, 830, 431, 553 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, 870, 830, 431, 553. So, keep reading to learn more.
Given numbers are 590,870,830,431,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,870,830,431,553 is 1015434133770.
Find LCM of 590,870,830,431,553 with Prime Factorization
2 | 590, 870, 830, 431, 553 |
5 | 295, 435, 415, 431, 553 |
59, 87, 83, 431, 553 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 87 x 83 x 431 x 553 = 1015434133770
Therefore, the lowest common multiple of 590,870,830,431,553 is 1015434133770.
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 870 x 830 x 431 x 553 = 101543413377000
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
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
830 : 1, 2, 5, 10, 83, 166, 415, 830
431 : 1, 431
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,870,830,431,553, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
870:2x 3x 5x 29
830:2x 5x 83
431:431
553:7x 79
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 101543413377000/(1x100)
LCM = 101543413377000/100
LCM = 1015434133770
Thus, we can understand that the LCM of 590,870,830,431,553 is 1015434133770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 870, 830, 431, 553?
Answer: LCM of 590, 870, 830, 431, 553 is 1015434133770.
2. How to calculate the LCM of 590, 870, 830, 431, 553?
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, 870, 830, 431, 553.
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}.