Given numbers are 149,973,214,945

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

The LCM of 149,973,214,945 is 4188385530.

Find LCM of 149,973,214,945 with Prime Factorization

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

7 x 149 x 139 x 214 x 135 = 4188385530

Therefore, the lowest common multiple of 149,973,214,945 is 4188385530.

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.

149 x 973 x 214 x 945 = 29318698710

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.

149 : 1, 149

973 : 1, 7, 139, 973

214 : 1, 2, 107, 214

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,973,214,945, is 1.

Now, the common factors can be found like this.

149:149

973:7x 139

214:2x 107

945:3x 3x 3x 5x 7

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

7 = 7

Therefore, the value for common factors is 7.

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 = 29318698710/(1x7)

LCM = 29318698710/7

LCM = 4188385530

Thus, we can understand that the LCM of 149,973,214,945 is 4188385530.

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

• LCM of 856, 920, 772, 562
• LCM of 712, 634, 291, 658
• LCM of 189, 553, 463, 414
• LCM of 187, 606, 790, 196
• LCM of 760, 792, 131, 164

1. What is the LCM of 149, 973, 214, 945?

Answer: LCM of 149, 973, 214, 945 is 4188385530.

2. How to calculate the LCM of 149, 973, 214, 945?

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 149, 973, 214, 945.

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}.