Given numbers are 688,118,129,242

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

The LCM of 688,118,129,242 is 14734896.

Find LCM of 688,118,129,242 with Prime Factorization

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

2 x 43 x 8 x 59 x 3 x 121 = 14734896

Therefore, the lowest common multiple of 688,118,129,242 is 14734896.

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.

688 x 118 x 129 x 242 = 2534402112

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.

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

118 : 1, 2, 59, 118

129 : 1, 3, 43, 129

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,118,129,242, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

118:2x 59

129:3x 43

242:2x 11x 11

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 43 = 172

Therefore, the value for common factors is 172.

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 = 2534402112/(1x172)

LCM = 2534402112/172

LCM = 14734896

Thus, we can understand that the LCM of 688,118,129,242 is 14734896.

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

• LCM of 448, 988, 820, 632
• LCM of 940, 784, 329, 132
• LCM of 903, 976, 476, 471
• LCM of 171, 708, 322, 668
• LCM of 223, 608, 700, 345

1. What is the LCM of 688, 118, 129, 242?

Answer: LCM of 688, 118, 129, 242 is 14734896.

2. How to calculate the LCM of 688, 118, 129, 242?

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 688, 118, 129, 242.

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}.