LCM of 479, 462, 737, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 462, 737, 172 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 479, 462, 737, 172. So, keep reading to learn more.
Given numbers are 479,462,737,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,462,737,172 is 1275119076.
Find LCM of 479,462,737,172 with Prime Factorization
| 2 | 479, 462, 737, 172 |
| 11 | 479, 231, 737, 86 |
| 479, 21, 67, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 479 x 21 x 67 x 86 = 1275119076
Therefore, the lowest common multiple of 479,462,737,172 is 1275119076.
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.
479 x 462 x 737 x 172 = 28052619672
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.
479 : 1, 479
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
737 : 1, 11, 67, 737
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,462,737,172, is 1.
Now, the common factors can be found like this.
479:479
462:2x 3x 7x 11
737:11x 67
172:2x 2x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 28052619672/(1x22)
LCM = 28052619672/22
LCM = 1275119076
Thus, we can understand that the LCM of 479,462,737,172 is 1275119076.
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FAQs on LCM of 479, 462, 737, 172
1. What is the LCM of 479, 462, 737, 172?
Answer: LCM of 479, 462, 737, 172 is 1275119076.
2. How to calculate the LCM of 479, 462, 737, 172?
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 479, 462, 737, 172.
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}.