LCM of 740, 589, 310, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 589, 310, 989 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 740, 589, 310, 989. So, keep reading to learn more.
Given numbers are 740,589,310,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,589,310,989 is 431065540.
Find LCM of 740,589,310,989 with Prime Factorization
| 2 | 740, 589, 310, 989 |
| 5 | 370, 589, 155, 989 |
| 31 | 74, 589, 31, 989 |
| 74, 19, 1, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 74 x 19 x 1 x 989 = 431065540
Therefore, the lowest common multiple of 740,589,310,989 is 431065540.
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.
740 x 589 x 310 x 989 = 133630317400
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
589 : 1, 19, 31, 589
310 : 1, 2, 5, 10, 31, 62, 155, 310
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,589,310,989, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
589:19x 31
310:2x 5x 31
989:23x 43
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 31 = 310
Therefore, the value for common factors is 310.
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 = 133630317400/(1x310)
LCM = 133630317400/310
LCM = 431065540
Thus, we can understand that the LCM of 740,589,310,989 is 431065540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 740, 589, 310, 989
1. What is the LCM of 740, 589, 310, 989?
Answer: LCM of 740, 589, 310, 989 is 431065540.
2. How to calculate the LCM of 740, 589, 310, 989?
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 740, 589, 310, 989.
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}.