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LCM of 478, 239, 964, 384

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 478, 239, 964, 384 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 478, 239, 964, 384. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 478,239,964,384

Given numbers are 478,239,964,384

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 478,239,964,384 is 22118016.

Find LCM of 478,239,964,384 with Prime Factorization


2 478, 239, 964, 384
2 239, 239, 482, 192
239 239, 239, 241, 96
1, 1, 241, 96

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 239 x 1 x 1 x 241 x 96 = 22118016

Therefore, the lowest common multiple of 478,239,964,384 is 22118016.

LCM Formula to Find Lowest Common Multiple of 478,239,964,384

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.

478 x 239 x 964 x 384 = 42289646592

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.

478 : 1, 2, 239, 478

239 : 1, 239

964 : 1, 2, 4, 241, 482, 964

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,239,964,384, is 1.

Now, the common factors can be found like this.

478:2x 239

239:239

964:2x 2x 241

384:2x 2x 2x 2x 2x 2x 2x 3

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 239 = 1912

Therefore, the value for common factors is 1912.

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 = 42289646592/(1x1912)

LCM = 42289646592/1912

LCM = 22118016

Thus, we can understand that the LCM of 478,239,964,384 is 22118016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 478, 239, 964, 384

1. What is the LCM of 478, 239, 964, 384?

Answer: LCM of 478, 239, 964, 384 is 22118016.

2. How to calculate the LCM of 478, 239, 964, 384?

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 478, 239, 964, 384.

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}.