LCM of 161, 557, 890, 994, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 557, 890, 994, 426 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 161, 557, 890, 994, 426. So, keep reading to learn more.
Given numbers are 161,557,890,994,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,557,890,994,426 is 17000068890.
Find LCM of 161,557,890,994,426 with Prime Factorization
| 2 | 161, 557, 890, 994, 426 |
| 7 | 161, 557, 445, 497, 213 |
| 71 | 23, 557, 445, 71, 213 |
| 23, 557, 445, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 71 x 23 x 557 x 445 x 1 x 3 = 17000068890
Therefore, the lowest common multiple of 161,557,890,994,426 is 17000068890.
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.
161 x 557 x 890 x 994 x 426 = 33796136953320
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.
161 : 1, 7, 23, 161
557 : 1, 557
890 : 1, 2, 5, 10, 89, 178, 445, 890
994 : 1, 2, 7, 14, 71, 142, 497, 994
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,557,890,994,426, is 1.
Now, the common factors can be found like this.
161:7x 23
557:557
890:2x 5x 89
994:2x 7x 71
426:2x 3x 71
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 71 = 1988
Therefore, the value for common factors is 1988.
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 = 33796136953320/(1x1988)
LCM = 33796136953320/1988
LCM = 17000068890
Thus, we can understand that the LCM of 161,557,890,994,426 is 17000068890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 161, 557, 890, 994, 426
1. What is the LCM of 161, 557, 890, 994, 426?
Answer: LCM of 161, 557, 890, 994, 426 is 17000068890.
2. How to calculate the LCM of 161, 557, 890, 994, 426?
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 161, 557, 890, 994, 426.
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}.