LCM of 437, 994, 944, 322, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 994, 944, 322, 195 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 437, 994, 944, 322, 195. So, keep reading to learn more.
Given numbers are 437,994,944,322,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,994,944,322,195 is 39980151120.
Find LCM of 437,994,944,322,195 with Prime Factorization
| 2 | 437, 994, 944, 322, 195 |
| 7 | 437, 497, 472, 161, 195 |
| 23 | 437, 71, 472, 23, 195 |
| 19, 71, 472, 1, 195 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 19 x 71 x 472 x 1 x 195 = 39980151120
Therefore, the lowest common multiple of 437,994,944,322,195 is 39980151120.
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.
437 x 994 x 944 x 322 x 195 = 25747217321280
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.
437 : 1, 19, 23, 437
994 : 1, 2, 7, 14, 71, 142, 497, 994
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
322 : 1, 2, 7, 14, 23, 46, 161, 322
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,994,944,322,195, is 1.
Now, the common factors can be found like this.
437:19x 23
994:2x 7x 71
944:2x 2x 2x 2x 59
322:2x 7x 23
195:3x 5x 13
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 7x 23 = 644
Therefore, the value for common factors is 644.
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 = 25747217321280/(1x644)
LCM = 25747217321280/644
LCM = 39980151120
Thus, we can understand that the LCM of 437,994,944,322,195 is 39980151120.
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FAQs on LCM of 437, 994, 944, 322, 195
1. What is the LCM of 437, 994, 944, 322, 195?
Answer: LCM of 437, 994, 944, 322, 195 is 39980151120.
2. How to calculate the LCM of 437, 994, 944, 322, 195?
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 437, 994, 944, 322, 195.
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}.