Given numbers are 457,238,451,701,514

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

The LCM of 457,238,451,701,514 is 8837325274162.

Find LCM of 457,238,451,701,514 with Prime Factorization

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

2 x 457 x 119 x 451 x 701 x 257 = 8837325274162

Therefore, the lowest common multiple of 457,238,451,701,514 is 8837325274162.

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.

457 x 238 x 451 x 701 x 514 = 17674650548324

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.

457 : 1, 457

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

451 : 1, 11, 41, 451

701 : 1, 701

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,238,451,701,514, is 1.

Now, the common factors can be found like this.

457:457

238:2x 7x 17

451:11x 41

701:701

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 17674650548324/(1x2)

LCM = 17674650548324/2

LCM = 8837325274162

Thus, we can understand that the LCM of 457,238,451,701,514 is 8837325274162.

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

• LCM of 908, 582, 532, 245, 165
• LCM of 553, 140, 494, 717, 964
• LCM of 803, 535, 857, 498, 154
• LCM of 409, 101, 878, 505, 610
• LCM of 957, 884, 956, 957, 127

1. What is the LCM of 457, 238, 451, 701, 514?

Answer: LCM of 457, 238, 451, 701, 514 is 8837325274162.

2. How to calculate the LCM of 457, 238, 451, 701, 514?

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 457, 238, 451, 701, 514.

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}.