LCM of 194, 498, 509, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 498, 509, 970 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 194, 498, 509, 970. So, keep reading to learn more.
Given numbers are 194,498,509,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,498,509,970 is 122938770.
Find LCM of 194,498,509,970 with Prime Factorization
| 2 | 194, 498, 509, 970 |
| 97 | 97, 249, 509, 485 |
| 1, 249, 509, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 97 x 1 x 249 x 509 x 5 = 122938770
Therefore, the lowest common multiple of 194,498,509,970 is 122938770.
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.
194 x 498 x 509 x 970 = 47700242760
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.
194 : 1, 2, 97, 194
498 : 1, 2, 3, 6, 83, 166, 249, 498
509 : 1, 509
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,498,509,970, is 1.
Now, the common factors can be found like this.
194:2x 97
498:2x 3x 83
509:509
970:2x 5x 97
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 97 = 388
Therefore, the value for common factors is 388.
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 = 47700242760/(1x388)
LCM = 47700242760/388
LCM = 122938770
Thus, we can understand that the LCM of 194,498,509,970 is 122938770.
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FAQs on LCM of 194, 498, 509, 970
1. What is the LCM of 194, 498, 509, 970?
Answer: LCM of 194, 498, 509, 970 is 122938770.
2. How to calculate the LCM of 194, 498, 509, 970?
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 194, 498, 509, 970.
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}.