Given numbers are 142,114,176,440,708

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

The LCM of 142,114,176,440,708 is 210120240.

Find LCM of 142,114,176,440,708 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 71 x 19 x 2 x 5 x 59 = 210120240

Therefore, the lowest common multiple of 142,114,176,440,708 is 210120240.

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.

142 x 114 x 176 x 440 x 708 = 887547893760

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.

142 : 1, 2, 71, 142

114 : 1, 2, 3, 6, 19, 38, 57, 114

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,114,176,440,708, is 2.

Now, the common factors can be found like this.

142:2x 71

114:2x 3x 19

176:2x 2x 2x 2x 11

440:2x 2x 2x 5x 11

708:2x 2x 3x 59

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 11 = 2112

Therefore, the value for common factors is 2112.

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 = 887547893760/(2x2112)

LCM = 887547893760/4224

LCM = 210120240

Thus, we can understand that the LCM of 142,114,176,440,708 is 210120240.

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

• LCM of 385, 994, 920, 376, 225
• LCM of 475, 554, 680, 886, 530
• LCM of 265, 776, 412, 385, 115
• LCM of 159, 194, 909, 124, 827
• LCM of 978, 744, 574, 247, 343

1. What is the LCM of 142, 114, 176, 440, 708?

Answer: LCM of 142, 114, 176, 440, 708 is 210120240.

2. How to calculate the LCM of 142, 114, 176, 440, 708?

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 142, 114, 176, 440, 708.

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}.