Given numbers are 782,238,167,272

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

The LCM of 782,238,167,272 is 7313264.

Find LCM of 782,238,167,272 with Prime Factorization

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

2 x 17 x 23 x 7 x 167 x 8 = 7313264

Therefore, the lowest common multiple of 782,238,167,272 is 7313264.

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.

782 x 238 x 167 x 272 = 8454133184

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

238 : 1, 2, 7, 14, 17, 34, 119, 238

167 : 1, 167

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,238,167,272, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

238:2x 7x 17

167:167

272:2x 2x 2x 2x 17

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 8454133184/(1x1156)

LCM = 8454133184/1156

LCM = 7313264

Thus, we can understand that the LCM of 782,238,167,272 is 7313264.

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

• LCM of 472, 965, 919, 677
• LCM of 464, 813, 307, 154
• LCM of 525, 489, 457, 377
• LCM of 651, 882, 267, 332
• LCM of 780, 899, 615, 557

1. What is the LCM of 782, 238, 167, 272?

Answer: LCM of 782, 238, 167, 272 is 7313264.

2. How to calculate the LCM of 782, 238, 167, 272?

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 782, 238, 167, 272.

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}.