Given numbers are 161,125,123,924,306

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

The LCM of 161,125,123,924,306 is 5554741500.

Find LCM of 161,125,123,924,306 with Prime Factorization

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

2 x 3 x 7 x 23 x 125 x 41 x 22 x 51 = 5554741500

Therefore, the lowest common multiple of 161,125,123,924,306 is 5554741500.

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.

161 x 125 x 123 x 924 x 306 = 699897429000

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.

161 : 1, 7, 23, 161

125 : 1, 5, 25, 125

123 : 1, 3, 41, 123

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,125,123,924,306, is 1.

Now, the common factors can be found like this.

161:7x 23

125:5x 5x 5

123:3x 41

924:2x 2x 3x 7x 11

306:2x 3x 3x 17

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 699897429000/(1x126)

LCM = 699897429000/126

LCM = 5554741500

Thus, we can understand that the LCM of 161,125,123,924,306 is 5554741500.

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

• LCM of 933, 525, 548, 847, 282
• LCM of 905, 808, 990, 349, 453
• LCM of 433, 392, 940, 648, 826
• LCM of 250, 423, 840, 364, 769
• LCM of 878, 423, 522, 334, 806

1. What is the LCM of 161, 125, 123, 924, 306?

Answer: LCM of 161, 125, 123, 924, 306 is 5554741500.

2. How to calculate the LCM of 161, 125, 123, 924, 306?

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 161, 125, 123, 924, 306.

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}.