Given numbers are 642,129,126,688

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

The LCM of 642,129,126,688 is 4637808.

Find LCM of 642,129,126,688 with Prime Factorization

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

2 x 3 x 43 x 107 x 1 x 21 x 8 = 4637808

Therefore, the lowest common multiple of 642,129,126,688 is 4637808.

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.

642 x 129 x 126 x 688 = 7179326784

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

129 : 1, 3, 43, 129

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

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 642,129,126,688, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

129:3x 43

126:2x 3x 3x 7

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 3x 3x 43 = 1548

Therefore, the value for common factors is 1548.

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 = 7179326784/(1x1548)

LCM = 7179326784/1548

LCM = 4637808

Thus, we can understand that the LCM of 642,129,126,688 is 4637808.

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

• LCM of 508, 556, 978, 713
• LCM of 543, 999, 775, 185
• LCM of 530, 437, 601, 321
• LCM of 746, 901, 807, 370
• LCM of 472, 724, 456, 799

1. What is the LCM of 642, 129, 126, 688?

Answer: LCM of 642, 129, 126, 688 is 4637808.

2. How to calculate the LCM of 642, 129, 126, 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 642, 129, 126, 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}.