LCM of 310, 520, 893, 845, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 520, 893, 845, 133 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 310, 520, 893, 845, 133. So, keep reading to learn more.
Given numbers are 310,520,893,845,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,520,893,845,133 is 1309959560.
Find LCM of 310,520,893,845,133 with Prime Factorization
| 2 | 310, 520, 893, 845, 133 |
| 5 | 155, 260, 893, 845, 133 |
| 13 | 31, 52, 893, 169, 133 |
| 19 | 31, 4, 893, 13, 133 |
| 31, 4, 47, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 19 x 31 x 4 x 47 x 13 x 7 = 1309959560
Therefore, the lowest common multiple of 310,520,893,845,133 is 1309959560.
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.
310 x 520 x 893 x 845 x 133 = 16178000566000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
893 : 1, 19, 47, 893
845 : 1, 5, 13, 65, 169, 845
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,520,893,845,133, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
520:2x 2x 2x 5x 13
893:19x 47
845:5x 13x 13
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 13x 19 = 12350
Therefore, the value for common factors is 12350.
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 = 16178000566000/(1x12350)
LCM = 16178000566000/12350
LCM = 1309959560
Thus, we can understand that the LCM of 310,520,893,845,133 is 1309959560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 310, 520, 893, 845, 133
1. What is the LCM of 310, 520, 893, 845, 133?
Answer: LCM of 310, 520, 893, 845, 133 is 1309959560.
2. How to calculate the LCM of 310, 520, 893, 845, 133?
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 310, 520, 893, 845, 133.
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}.