LCM of 161, 805, 174, 368, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 805, 174, 368, 397 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, 805, 174, 368, 397. So, keep reading to learn more.
Given numbers are 161,805,174,368,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,805,174,368,397 is 444862320.
Find LCM of 161,805,174,368,397 with Prime Factorization
| 2 | 161, 805, 174, 368, 397 |
| 7 | 161, 805, 87, 184, 397 |
| 23 | 23, 115, 87, 184, 397 |
| 1, 5, 87, 8, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 1 x 5 x 87 x 8 x 397 = 444862320
Therefore, the lowest common multiple of 161,805,174,368,397 is 444862320.
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 805 x 174 x 368 x 397 = 3294650341920
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
805 : 1, 5, 7, 23, 35, 115, 161, 805
174 : 1, 2, 3, 6, 29, 58, 87, 174
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,805,174,368,397, is 1.
Now, the common factors can be found like this.
161:7x 23
805:5x 7x 23
174:2x 3x 29
368:2x 2x 2x 2x 23
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23x 23 = 7406
Therefore, the value for common factors is 7406.
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 = 3294650341920/(1x7406)
LCM = 3294650341920/7406
LCM = 444862320
Thus, we can understand that the LCM of 161,805,174,368,397 is 444862320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 161, 805, 174, 368, 397
1. What is the LCM of 161, 805, 174, 368, 397?
Answer: LCM of 161, 805, 174, 368, 397 is 444862320.
2. How to calculate the LCM of 161, 805, 174, 368, 397?
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, 805, 174, 368, 397.
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}.