LCM of 161, 597, 399, 156, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 597, 399, 156, 301 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, 597, 399, 156, 301. So, keep reading to learn more.
Given numbers are 161,597,399,156,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,597,399,156,301 is 4083434628.
Find LCM of 161,597,399,156,301 with Prime Factorization
| 3 | 161, 597, 399, 156, 301 |
| 7 | 161, 199, 133, 52, 301 |
| 23, 199, 19, 52, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 199 x 19 x 52 x 43 = 4083434628
Therefore, the lowest common multiple of 161,597,399,156,301 is 4083434628.
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 597 x 399 x 156 x 301 = 1800794670948
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
597 : 1, 3, 199, 597
399 : 1, 3, 7, 19, 21, 57, 133, 399
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,597,399,156,301, is 1.
Now, the common factors can be found like this.
161:7x 23
597:3x 199
399:3x 7x 19
156:2x 2x 3x 13
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 1800794670948/(1x441)
LCM = 1800794670948/441
LCM = 4083434628
Thus, we can understand that the LCM of 161,597,399,156,301 is 4083434628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 161, 597, 399, 156, 301
1. What is the LCM of 161, 597, 399, 156, 301?
Answer: LCM of 161, 597, 399, 156, 301 is 4083434628.
2. How to calculate the LCM of 161, 597, 399, 156, 301?
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, 597, 399, 156, 301.
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}.