LCM of 437, 387, 184, 178, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 387, 184, 178, 456 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 437, 387, 184, 178, 456. So, keep reading to learn more.
Given numbers are 437,387,184,178,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,387,184,178,456 is 120412728.
Find LCM of 437,387,184,178,456 with Prime Factorization
| 2 | 437, 387, 184, 178, 456 |
| 2 | 437, 387, 92, 89, 228 |
| 2 | 437, 387, 46, 89, 114 |
| 3 | 437, 387, 23, 89, 57 |
| 19 | 437, 129, 23, 89, 19 |
| 23 | 23, 129, 23, 89, 1 |
| 1, 129, 1, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 23 x 1 x 129 x 1 x 89 x 1 = 120412728
Therefore, the lowest common multiple of 437,387,184,178,456 is 120412728.
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.
437 x 387 x 184 x 178 x 456 = 2525777382528
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.
437 : 1, 19, 23, 437
387 : 1, 3, 9, 43, 129, 387
184 : 1, 2, 4, 8, 23, 46, 92, 184
178 : 1, 2, 89, 178
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,387,184,178,456, is 1.
Now, the common factors can be found like this.
437:19x 23
387:3x 3x 43
184:2x 2x 2x 23
178:2x 89
456:2x 2x 2x 3x 19
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 2x 3x 19x 23 = 20976
Therefore, the value for common factors is 20976.
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 = 2525777382528/(1x20976)
LCM = 2525777382528/20976
LCM = 120412728
Thus, we can understand that the LCM of 437,387,184,178,456 is 120412728.
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FAQs on LCM of 437, 387, 184, 178, 456
1. What is the LCM of 437, 387, 184, 178, 456?
Answer: LCM of 437, 387, 184, 178, 456 is 120412728.
2. How to calculate the LCM of 437, 387, 184, 178, 456?
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 437, 387, 184, 178, 456.
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}.