Given numbers are 129,146,624,738,688

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

The LCM of 129,146,624,738,688 is 240924528.

Find LCM of 129,146,624,738,688 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 43 x 1 x 73 x 13 x 123 x 1 = 240924528

Therefore, the lowest common multiple of 129,146,624,738,688 is 240924528.

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.

129 x 146 x 624 x 738 x 688 = 5967218709504

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.

129 : 1, 3, 43, 129

146 : 1, 2, 73, 146

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,146,624,738,688, is 1.

Now, the common factors can be found like this.

129:3x 43

146:2x 73

624:2x 2x 2x 2x 3x 13

738:2x 3x 3x 41

688:2x 2x 2x 2x 43

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 3x 3x 43 = 24768

Therefore, the value for common factors is 24768.

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 = 5967218709504/(1x24768)

LCM = 5967218709504/24768

LCM = 240924528

Thus, we can understand that the LCM of 129,146,624,738,688 is 240924528.

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

• LCM of 453, 145, 865, 661, 516
• LCM of 318, 574, 113, 781, 968
• LCM of 672, 931, 767, 546, 188
• LCM of 862, 241, 500, 359, 403
• LCM of 729, 850, 429, 903, 651

1. What is the LCM of 129, 146, 624, 738, 688?

Answer: LCM of 129, 146, 624, 738, 688 is 240924528.

2. How to calculate the LCM of 129, 146, 624, 738, 688?

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 129, 146, 624, 738, 688.

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}.