Given numbers are 430,102,504,201,678

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

The LCM of 430,102,504,201,678 is 13946690520.

Find LCM of 430,102,504,201,678 with Prime Factorization

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

2 x 3 x 215 x 17 x 84 x 67 x 113 = 13946690520

Therefore, the lowest common multiple of 430,102,504,201,678 is 13946690520.

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.

430 x 102 x 504 x 201 x 678 = 3012485152320

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

201 : 1, 3, 67, 201

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,102,504,201,678, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

102:2x 3x 17

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

201:3x 67

678:2x 3x 113

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 3012485152320/(1x216)

LCM = 3012485152320/216

LCM = 13946690520

Thus, we can understand that the LCM of 430,102,504,201,678 is 13946690520.

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

• LCM of 187, 580, 509, 518, 704
• LCM of 403, 813, 196, 871, 409
• LCM of 746, 137, 397, 736, 175
• LCM of 517, 406, 863, 514, 241
• LCM of 743, 191, 817, 347, 695

1. What is the LCM of 430, 102, 504, 201, 678?

Answer: LCM of 430, 102, 504, 201, 678 is 13946690520.

2. How to calculate the LCM of 430, 102, 504, 201, 678?

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 430, 102, 504, 201, 678.

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}.