LCM of 589, 942, 312, 737, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 942, 312, 737, 310 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 589, 942, 312, 737, 310. So, keep reading to learn more.
Given numbers are 589,942,312,737,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,942,312,737,310 is 106318057560.
Find LCM of 589,942,312,737,310 with Prime Factorization
| 2 | 589, 942, 312, 737, 310 |
| 3 | 589, 471, 156, 737, 155 |
| 31 | 589, 157, 52, 737, 155 |
| 19, 157, 52, 737, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 19 x 157 x 52 x 737 x 5 = 106318057560
Therefore, the lowest common multiple of 589,942,312,737,310 is 106318057560.
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.
589 x 942 x 312 x 737 x 310 = 39550317412320
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.
589 : 1, 19, 31, 589
942 : 1, 2, 3, 6, 157, 314, 471, 942
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
737 : 1, 11, 67, 737
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,942,312,737,310, is 1.
Now, the common factors can be found like this.
589:19x 31
942:2x 3x 157
312:2x 2x 2x 3x 13
737:11x 67
310:2x 5x 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 3x 31 = 372
Therefore, the value for common factors is 372.
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 = 39550317412320/(1x372)
LCM = 39550317412320/372
LCM = 106318057560
Thus, we can understand that the LCM of 589,942,312,737,310 is 106318057560.
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FAQs on LCM of 589, 942, 312, 737, 310
1. What is the LCM of 589, 942, 312, 737, 310?
Answer: LCM of 589, 942, 312, 737, 310 is 106318057560.
2. How to calculate the LCM of 589, 942, 312, 737, 310?
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 589, 942, 312, 737, 310.
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}.