Given numbers are 149,923,274,312

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

The LCM of 149,923,274,312 is 452188776.

Find LCM of 149,923,274,312 with Prime Factorization

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

2 x 13 x 149 x 71 x 137 x 12 = 452188776

Therefore, the lowest common multiple of 149,923,274,312 is 452188776.

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 923 x 274 x 312 = 11756908176

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

923 : 1, 13, 71, 923

274 : 1, 2, 137, 274

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,923,274,312, is 1.

Now, the common factors can be found like this.

149:149

923:13x 71

274:2x 137

312:2x 2x 2x 3x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 11756908176/(1x26)

LCM = 11756908176/26

LCM = 452188776

Thus, we can understand that the LCM of 149,923,274,312 is 452188776.

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

• LCM of 195, 714, 738, 846
• LCM of 133, 553, 123, 900
• LCM of 721, 730, 967, 449
• LCM of 161, 295, 934, 300
• LCM of 490, 686, 237, 560

1. What is the LCM of 149, 923, 274, 312?

Answer: LCM of 149, 923, 274, 312 is 452188776.

2. How to calculate the LCM of 149, 923, 274, 312?

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, 923, 274, 312.

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}.