Find the LCM of 820, 984, 924, 544, 752 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 820, 984, 924, 544, 752. So, keep reading to learn more.
Given numbers are 820,984,924,544,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,984,924,544,752 is 1210772640.
Find LCM of 820,984,924,544,752 with Prime Factorization
2 | 820, 984, 924, 544, 752 |
2 | 410, 492, 462, 272, 376 |
2 | 205, 246, 231, 136, 188 |
2 | 205, 123, 231, 68, 94 |
3 | 205, 123, 231, 34, 47 |
41 | 205, 41, 77, 34, 47 |
5, 1, 77, 34, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 41 x 5 x 1 x 77 x 34 x 47 = 1210772640
Therefore, the lowest common multiple of 820,984,924,544,752 is 1210772640.
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.
820 x 984 x 924 x 544 x 752 = 304998471106560
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,984,924,544,752, is 4.
Now, the common factors can be found like this.
820:2x 2x 5x 41
984:2x 2x 2x 3x 41
924:2x 2x 3x 7x 11
544:2x 2x 2x 2x 2x 17
752:2x 2x 2x 2x 47
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 2x 3x 41 = 62976
Therefore, the value for common factors is 62976.
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 = 304998471106560/(4x62976)
LCM = 304998471106560/251904
LCM = 1210772640
Thus, we can understand that the LCM of 820,984,924,544,752 is 1210772640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 984, 924, 544, 752?
Answer: LCM of 820, 984, 924, 544, 752 is 1210772640.
2. How to calculate the LCM of 820, 984, 924, 544, 752?
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 820, 984, 924, 544, 752.
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}.