LCM of 194, 137, 897, 959, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 137, 897, 959, 705 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, 137, 897, 959, 705. So, keep reading to learn more.
Given numbers are 194,137,897,959,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,137,897,959,705 is 39217566570.
Find LCM of 194,137,897,959,705 with Prime Factorization
| 3 | 194, 137, 897, 959, 705 |
| 137 | 194, 137, 299, 959, 235 |
| 194, 1, 299, 7, 235 |
Multiply the prime numbers at the bottom and the left side.
3 x 137 x 194 x 1 x 299 x 7 x 235 = 39217566570
Therefore, the lowest common multiple of 194,137,897,959,705 is 39217566570.
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 137 x 897 x 959 x 705 = 16118419860270
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
137 : 1, 137
897 : 1, 3, 13, 23, 39, 69, 299, 897
959 : 1, 7, 137, 959
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,137,897,959,705, is 1.
Now, the common factors can be found like this.
194:2x 97
137:137
897:3x 13x 23
959:7x 137
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 137 = 411
Therefore, the value for common factors is 411.
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 = 16118419860270/(1x411)
LCM = 16118419860270/411
LCM = 39217566570
Thus, we can understand that the LCM of 194,137,897,959,705 is 39217566570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 194, 137, 897, 959, 705
1. What is the LCM of 194, 137, 897, 959, 705?
Answer: LCM of 194, 137, 897, 959, 705 is 39217566570.
2. How to calculate the LCM of 194, 137, 897, 959, 705?
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, 137, 897, 959, 705.
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}.