Given numbers are 678,201,514,126

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

The LCM of 678,201,514,126 is 245164122.

Find LCM of 678,201,514,126 with Prime Factorization

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

2 x 3 x 113 x 67 x 257 x 21 = 245164122

Therefore, the lowest common multiple of 678,201,514,126 is 245164122.

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.

678 x 201 x 514 x 126 = 8825908392

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

201 : 1, 3, 67, 201

514 : 1, 2, 257, 514

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,201,514,126, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

201:3x 67

514:2x 257

126:2x 3x 3x 7

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 8825908392/(1x36)

LCM = 8825908392/36

LCM = 245164122

Thus, we can understand that the LCM of 678,201,514,126 is 245164122.

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

• LCM of 605, 119, 135, 291
• LCM of 813, 773, 707, 533
• LCM of 739, 843, 721, 131
• LCM of 441, 954, 320, 950
• LCM of 711, 628, 343, 178

1. What is the LCM of 678, 201, 514, 126?

Answer: LCM of 678, 201, 514, 126 is 245164122.

2. How to calculate the LCM of 678, 201, 514, 126?

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 678, 201, 514, 126.

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}.