Find the LCM of 748, 924, 772, 880, 837 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 748, 924, 772, 880, 837. So, keep reading to learn more.
Given numbers are 748,924,772,880,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,924,772,880,837 is 16916573520.
Find LCM of 748,924,772,880,837 with Prime Factorization
2 | 748, 924, 772, 880, 837 |
2 | 374, 462, 386, 440, 837 |
3 | 187, 231, 193, 220, 837 |
11 | 187, 77, 193, 220, 279 |
17, 7, 193, 20, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 7 x 193 x 20 x 279 = 16916573520
Therefore, the lowest common multiple of 748,924,772,880,837 is 16916573520.
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.
748 x 924 x 772 x 880 x 837 = 393005836016640
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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
772 : 1, 2, 4, 193, 386, 772
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,924,772,880,837, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
924:2x 2x 3x 7x 11
772:2x 2x 193
880:2x 2x 2x 2x 5x 11
837:3x 3x 3x 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 2x 2x 2x 2x 2x 3x 11x 11 = 23232
Therefore, the value for common factors is 23232.
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 = 393005836016640/(1x23232)
LCM = 393005836016640/23232
LCM = 16916573520
Thus, we can understand that the LCM of 748,924,772,880,837 is 16916573520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 924, 772, 880, 837?
Answer: LCM of 748, 924, 772, 880, 837 is 16916573520.
2. How to calculate the LCM of 748, 924, 772, 880, 837?
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 748, 924, 772, 880, 837.
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}.