Given numbers are 149,298,310

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

The LCM of 149,298,310 is 46190.

Find LCM of 149,298,310 with Prime Factorization

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

2 x 149 x 1 x 1 x 155 = 46190

Therefore, the lowest common multiple of 149,298,310 is 46190.

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 298 x 310 = 13764620

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

298 : 1, 2, 149, 298

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,298,310, is 1.

Now, the common factors can be found like this.

149:149

298:2x 149

310:2x 5x 31

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 = 13764620/(1x298)

LCM = 13764620/298

LCM = 46190

Thus, we can understand that the LCM of 149,298,310 is 46190.

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

• LCM of 446, 517, 178
• LCM of 555, 419, 835
• LCM of 360, 697, 591
• LCM of 626, 885, 691
• LCM of 402, 180, 568

1. What is the LCM of 149, 298, 310?

Answer: LCM of 149, 298, 310 is 46190.

2. How to calculate the LCM of 149, 298, 310?

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, 298, 310.

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}.