Given numbers are 745,102,226,149

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

The LCM of 745,102,226,149 is 8586870.

Find LCM of 745,102,226,149 with Prime Factorization

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

2 x 149 x 5 x 51 x 113 x 1 = 8586870

Therefore, the lowest common multiple of 745,102,226,149 is 8586870.

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.

745 x 102 x 226 x 149 = 2558887260

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.

745 : 1, 5, 149, 745

102 : 1, 2, 3, 6, 17, 34, 51, 102

226 : 1, 2, 113, 226

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,102,226,149, is 1.

Now, the common factors can be found like this.

745:5x 149

102:2x 3x 17

226:2x 113

149:149

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 2558887260/(1x298)

LCM = 2558887260/298

LCM = 8586870

Thus, we can understand that the LCM of 745,102,226,149 is 8586870.

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

• LCM of 417, 622, 112, 237
• LCM of 758, 279, 678, 478
• LCM of 763, 131, 891, 949
• LCM of 618, 331, 610, 709
• LCM of 688, 758, 242, 909

1. What is the LCM of 745, 102, 226, 149?

Answer: LCM of 745, 102, 226, 149 is 8586870.

2. How to calculate the LCM of 745, 102, 226, 149?

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 745, 102, 226, 149.

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}.