Given numbers are 839,112,128,392,478

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

The LCM of 839,112,128,392,478 is 1257667712.

Find LCM of 839,112,128,392,478 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 839 x 1 x 8 x 7 x 239 = 1257667712

Therefore, the lowest common multiple of 839,112,128,392,478 is 1257667712.

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.

839 x 112 x 128 x 392 x 478 = 2253740539904

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.

839 : 1, 839

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

128 : 1, 2, 4, 8, 16, 32, 64, 128

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,112,128,392,478, is 1.

Now, the common factors can be found like this.

839:839

112:2x 2x 2x 2x 7

128:2x 2x 2x 2x 2x 2x 2

392:2x 2x 2x 7x 7

478:2x 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 2x 2x 2x 2x 7 = 1792

Therefore, the value for common factors is 1792.

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 = 2253740539904/(1x1792)

LCM = 2253740539904/1792

LCM = 1257667712

Thus, we can understand that the LCM of 839,112,128,392,478 is 1257667712.

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

• LCM of 154, 567, 142, 404, 675
• LCM of 298, 943, 256, 965, 160
• LCM of 710, 987, 649, 993, 587
• LCM of 436, 172, 528, 665, 227
• LCM of 635, 226, 945, 412, 340

1. What is the LCM of 839, 112, 128, 392, 478?

Answer: LCM of 839, 112, 128, 392, 478 is 1257667712.

2. How to calculate the LCM of 839, 112, 128, 392, 478?

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 839, 112, 128, 392, 478.

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}.