Find the LCM of 295, 817, 272, 988, 793 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 295, 817, 272, 988, 793. So, keep reading to learn more.
Given numbers are 295,817,272,988,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,817,272,988,793 is 51985971440.
Find LCM of 295,817,272,988,793 with Prime Factorization
2 | 295, 817, 272, 988, 793 |
2 | 295, 817, 136, 494, 793 |
13 | 295, 817, 68, 247, 793 |
19 | 295, 817, 68, 19, 61 |
295, 43, 68, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 295 x 43 x 68 x 1 x 61 = 51985971440
Therefore, the lowest common multiple of 295,817,272,988,793 is 51985971440.
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.
295 x 817 x 272 x 988 x 793 = 51362139782720
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.
295 : 1, 5, 59, 295
817 : 1, 19, 43, 817
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,817,272,988,793, is 1.
Now, the common factors can be found like this.
295:5x 59
817:19x 43
272:2x 2x 2x 2x 17
988:2x 2x 13x 19
793:13x 61
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 51362139782720/(1x988)
LCM = 51362139782720/988
LCM = 51985971440
Thus, we can understand that the LCM of 295,817,272,988,793 is 51985971440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 817, 272, 988, 793?
Answer: LCM of 295, 817, 272, 988, 793 is 51985971440.
2. How to calculate the LCM of 295, 817, 272, 988, 793?
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 295, 817, 272, 988, 793.
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}.