LCM of 970, 466, 112, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 466, 112, 509 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 970, 466, 112, 509. So, keep reading to learn more.
Given numbers are 970,466,112,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,466,112,509 is 6442189040.
Find LCM of 970,466,112,509 with Prime Factorization
| 2 | 970, 466, 112, 509 |
| 485, 233, 56, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 485 x 233 x 56 x 509 = 6442189040
Therefore, the lowest common multiple of 970,466,112,509 is 6442189040.
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.
970 x 466 x 112 x 509 = 25768756160
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
466 : 1, 2, 233, 466
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,466,112,509, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
466:2x 233
112:2x 2x 2x 2x 7
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 25768756160/(1x4)
LCM = 25768756160/4
LCM = 6442189040
Thus, we can understand that the LCM of 970,466,112,509 is 6442189040.
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FAQs on LCM of 970, 466, 112, 509
1. What is the LCM of 970, 466, 112, 509?
Answer: LCM of 970, 466, 112, 509 is 6442189040.
2. How to calculate the LCM of 970, 466, 112, 509?
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 970, 466, 112, 509.
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}.