Given numbers are 114,107,182,292

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

The LCM of 114,107,182,292 is 162062628.

Find LCM of 114,107,182,292 with Prime Factorization

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

2 x 57 x 107 x 91 x 146 = 162062628

Therefore, the lowest common multiple of 114,107,182,292 is 162062628.

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.

114 x 107 x 182 x 292 = 648250512

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.

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

107 : 1, 107

182 : 1, 2, 7, 13, 14, 26, 91, 182

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,107,182,292, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

107:107

182:2x 7x 13

292:2x 2x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 648250512/(1x4)

LCM = 648250512/4

LCM = 162062628

Thus, we can understand that the LCM of 114,107,182,292 is 162062628.

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

• LCM of 743, 490, 128, 792
• LCM of 256, 127, 628, 179
• LCM of 174, 493, 738, 516
• LCM of 675, 655, 896, 857
• LCM of 338, 991, 140, 536

1. What is the LCM of 114, 107, 182, 292?

Answer: LCM of 114, 107, 182, 292 is 162062628.

2. How to calculate the LCM of 114, 107, 182, 292?

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 114, 107, 182, 292.

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}.