Given numbers are 106,269,322,307

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

The LCM of 106,269,322,307 is 1409361478.

Find LCM of 106,269,322,307 with Prime Factorization

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

2 x 53 x 269 x 161 x 307 = 1409361478

Therefore, the lowest common multiple of 106,269,322,307 is 1409361478.

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.

106 x 269 x 322 x 307 = 2818722956

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.

106 : 1, 2, 53, 106

269 : 1, 269

322 : 1, 2, 7, 14, 23, 46, 161, 322

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,269,322,307, is 1.

Now, the common factors can be found like this.

106:2x 53

269:269

322:2x 7x 23

307:307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2818722956/(1x2)

LCM = 2818722956/2

LCM = 1409361478

Thus, we can understand that the LCM of 106,269,322,307 is 1409361478.

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

• LCM of 784, 917, 763, 574
• LCM of 890, 824, 304, 441
• LCM of 228, 643, 147, 648
• LCM of 189, 799, 583, 860
• LCM of 512, 733, 180, 728

1. What is the LCM of 106, 269, 322, 307?

Answer: LCM of 106, 269, 322, 307 is 1409361478.

2. How to calculate the LCM of 106, 269, 322, 307?

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 106, 269, 322, 307.

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}.