Given numbers are 177,138,678,114

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

The LCM of 177,138,678,114 is 17480874.

Find LCM of 177,138,678,114 with Prime Factorization

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

2 x 3 x 59 x 23 x 113 x 19 = 17480874

Therefore, the lowest common multiple of 177,138,678,114 is 17480874.

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.

177 x 138 x 678 x 114 = 1887934392

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.

177 : 1, 3, 59, 177

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,138,678,114, is 3.

Now, the common factors can be found like this.

177:3x 59

138:2x 3x 23

678:2x 3x 113

114:2x 3x 19

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 3 = 36

Therefore, the value for common factors is 36.

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 = 1887934392/(3x36)

LCM = 1887934392/108

LCM = 17480874

Thus, we can understand that the LCM of 177,138,678,114 is 17480874.

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

• LCM of 981, 972, 920, 697
• LCM of 554, 401, 524, 832
• LCM of 870, 302, 442, 330
• LCM of 287, 116, 532, 648
• LCM of 679, 952, 728, 333

1. What is the LCM of 177, 138, 678, 114?

Answer: LCM of 177, 138, 678, 114 is 17480874.

2. How to calculate the LCM of 177, 138, 678, 114?

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 177, 138, 678, 114.

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}.