Find the LCM of 902, 793, 924, 988, 520 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 902, 793, 924, 988, 520. So, keep reading to learn more.
Given numbers are 902,793,924,988,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,793,924,988,520 is 5707982280.
Find LCM of 902,793,924,988,520 with Prime Factorization
2 | 902, 793, 924, 988, 520 |
2 | 451, 793, 462, 494, 260 |
11 | 451, 793, 231, 247, 130 |
13 | 41, 793, 21, 247, 130 |
41, 61, 21, 19, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 41 x 61 x 21 x 19 x 10 = 5707982280
Therefore, the lowest common multiple of 902,793,924,988,520 is 5707982280.
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.
902 x 793 x 924 x 988 x 520 = 339556449872640
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
793 : 1, 13, 61, 793
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,793,924,988,520, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
793:13x 61
924:2x 2x 3x 7x 11
988:2x 2x 13x 19
520:2x 2x 2x 5x 13
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 11x 13x 13 = 59488
Therefore, the value for common factors is 59488.
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 = 339556449872640/(1x59488)
LCM = 339556449872640/59488
LCM = 5707982280
Thus, we can understand that the LCM of 902,793,924,988,520 is 5707982280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 793, 924, 988, 520?
Answer: LCM of 902, 793, 924, 988, 520 is 5707982280.
2. How to calculate the LCM of 902, 793, 924, 988, 520?
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 902, 793, 924, 988, 520.
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}.