LCM of 463, 176, 956, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 176, 956, 239 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 463, 176, 956, 239. So, keep reading to learn more.
Given numbers are 463,176,956,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,176,956,239 is 19475632.
Find LCM of 463,176,956,239 with Prime Factorization
| 2 | 463, 176, 956, 239 |
| 2 | 463, 88, 478, 239 |
| 239 | 463, 44, 239, 239 |
| 463, 44, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 239 x 463 x 44 x 1 x 1 = 19475632
Therefore, the lowest common multiple of 463,176,956,239 is 19475632.
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.
463 x 176 x 956 x 239 = 18618704192
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.
463 : 1, 463
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
956 : 1, 2, 4, 239, 478, 956
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,176,956,239, is 1.
Now, the common factors can be found like this.
463:463
176:2x 2x 2x 2x 11
956:2x 2x 239
239:239
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 239 = 956
Therefore, the value for common factors is 956.
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 = 18618704192/(1x956)
LCM = 18618704192/956
LCM = 19475632
Thus, we can understand that the LCM of 463,176,956,239 is 19475632.
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FAQs on LCM of 463, 176, 956, 239
1. What is the LCM of 463, 176, 956, 239?
Answer: LCM of 463, 176, 956, 239 is 19475632.
2. How to calculate the LCM of 463, 176, 956, 239?
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 463, 176, 956, 239.
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}.