Given numbers are 478,504,576,239

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

The LCM of 478,504,576,239 is 963648.

Find LCM of 478,504,576,239 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 239 x 1 x 7 x 8 x 1 = 963648

Therefore, the lowest common multiple of 478,504,576,239 is 963648.

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 504 x 576 x 239 = 33164909568

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,504,576,239, is 1.

Now, the common factors can be found like this.

478:2x 239

504:2x 2x 2x 3x 3x 7

576:2x 2x 2x 2x 2x 2x 3x 3

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 2x 2x 3x 3x 239 = 34416

Therefore, the value for common factors is 34416.

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 = 33164909568/(1x34416)

LCM = 33164909568/34416

LCM = 963648

Thus, we can understand that the LCM of 478,504,576,239 is 963648.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 993, 940, 734, 678
• LCM of 165, 844, 847, 630
• LCM of 454, 343, 809, 115
• LCM of 321, 251, 747, 503
• LCM of 417, 593, 138, 131

1. What is the LCM of 478, 504, 576, 239?

Answer: LCM of 478, 504, 576, 239 is 963648.

2. How to calculate the LCM of 478, 504, 576, 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 478, 504, 576, 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}.