Given numbers are 149,14,760

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

The LCM of 149,14,760 is 792680.

Find LCM of 149,14,760 with Prime Factorization

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

2 x 149 x 7 x 380 = 792680

Therefore, the lowest common multiple of 149,14,760 is 792680.

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 14 x 760 = 1585360

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

14 : 1, 2, 7, 14

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,14,760, is 1.

Now, the common factors can be found like this.

149:149

14:2x 7

760:2x 2x 2x 5x 19

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 = 1585360/(1x2)

LCM = 1585360/2

LCM = 792680

Thus, we can understand that the LCM of 149,14,760 is 792680.

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

• LCM of 506, 73, 111
• LCM of 310, 56, 384
• LCM of 736, 20, 859
• LCM of 342, 11, 835
• LCM of 956, 72, 569

1. What is the LCM of 149, 14, 760?

Answer: LCM of 149, 14, 760 is 792680.

2. How to calculate the LCM of 149, 14, 760?

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, 14, 760.

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}.