Find the LCM of 658, 824, 532, 384, 824 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 658, 824, 532, 384, 824. So, keep reading to learn more.
Given numbers are 658,824,532,384,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,824,532,384,824 is 247239552.
Find LCM of 658,824,532,384,824 with Prime Factorization
2 | 658, 824, 532, 384, 824 |
2 | 329, 412, 266, 192, 412 |
2 | 329, 206, 133, 96, 206 |
7 | 329, 103, 133, 48, 103 |
103 | 47, 103, 19, 48, 103 |
47, 1, 19, 48, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 103 x 47 x 1 x 19 x 48 x 1 = 247239552
Therefore, the lowest common multiple of 658,824,532,384,824 is 247239552.
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.
658 x 824 x 532 x 384 x 824 = 91268975099904
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
824 : 1, 2, 4, 8, 103, 206, 412, 824
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,824,532,384,824, is 2.
Now, the common factors can be found like this.
658:2x 7x 47
824:2x 2x 2x 103
532:2x 2x 7x 19
384:2x 2x 2x 2x 2x 2x 2x 3
824:2x 2x 2x 103
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 2x 2x 2x 2x 2x 2x 7x 103 = 184576
Therefore, the value for common factors is 184576.
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 = 91268975099904/(2x184576)
LCM = 91268975099904/369152
LCM = 247239552
Thus, we can understand that the LCM of 658,824,532,384,824 is 247239552.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 658, 824, 532, 384, 824?
Answer: LCM of 658, 824, 532, 384, 824 is 247239552.
2. How to calculate the LCM of 658, 824, 532, 384, 824?
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 658, 824, 532, 384, 824.
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}.