LCM of 470, 654, 768, 170, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 654, 768, 170, 349 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 470, 654, 768, 170, 349. So, keep reading to learn more.
Given numbers are 470,654,768,170,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,654,768,170,349 is 116715874560.
Find LCM of 470,654,768,170,349 with Prime Factorization
| 2 | 470, 654, 768, 170, 349 |
| 3 | 235, 327, 384, 85, 349 |
| 5 | 235, 109, 128, 85, 349 |
| 47, 109, 128, 17, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 109 x 128 x 17 x 349 = 116715874560
Therefore, the lowest common multiple of 470,654,768,170,349 is 116715874560.
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.
470 x 654 x 768 x 170 x 349 = 14005904947200
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
654 : 1, 2, 3, 6, 109, 218, 327, 654
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
170 : 1, 2, 5, 10, 17, 34, 85, 170
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,654,768,170,349, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
654:2x 3x 109
768:2x 2x 2x 2x 2x 2x 2x 2x 3
170:2x 5x 17
349:349
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 14005904947200/(1x120)
LCM = 14005904947200/120
LCM = 116715874560
Thus, we can understand that the LCM of 470,654,768,170,349 is 116715874560.
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FAQs on LCM of 470, 654, 768, 170, 349
1. What is the LCM of 470, 654, 768, 170, 349?
Answer: LCM of 470, 654, 768, 170, 349 is 116715874560.
2. How to calculate the LCM of 470, 654, 768, 170, 349?
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 470, 654, 768, 170, 349.
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}.