LCM of 153, 271, 612, 819, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 271, 612, 819, 474 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 153, 271, 612, 819, 474. So, keep reading to learn more.
Given numbers are 153,271,612,819,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,271,612,819,474 is 1192310028.
Find LCM of 153,271,612,819,474 with Prime Factorization
| 2 | 153, 271, 612, 819, 474 |
| 3 | 153, 271, 306, 819, 237 |
| 3 | 51, 271, 102, 273, 79 |
| 17 | 17, 271, 34, 91, 79 |
| 1, 271, 2, 91, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 1 x 271 x 2 x 91 x 79 = 1192310028
Therefore, the lowest common multiple of 153,271,612,819,474 is 1192310028.
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.
153 x 271 x 612 x 819 x 474 = 9850865451336
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.
153 : 1, 3, 9, 17, 51, 153
271 : 1, 271
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,271,612,819,474, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
271:271
612:2x 2x 3x 3x 17
819:3x 3x 7x 13
474:2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 17 = 8262
Therefore, the value for common factors is 8262.
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 = 9850865451336/(1x8262)
LCM = 9850865451336/8262
LCM = 1192310028
Thus, we can understand that the LCM of 153,271,612,819,474 is 1192310028.
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FAQs on LCM of 153, 271, 612, 819, 474
1. What is the LCM of 153, 271, 612, 819, 474?
Answer: LCM of 153, 271, 612, 819, 474 is 1192310028.
2. How to calculate the LCM of 153, 271, 612, 819, 474?
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 153, 271, 612, 819, 474.
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}.