Given numbers are 148,742,460,762

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

The LCM of 148,742,460,762 is 2405794020.

Find LCM of 148,742,460,762 with Prime Factorization

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

2 x 2 x 37 x 371 x 115 x 381 = 2405794020

Therefore, the lowest common multiple of 148,742,460,762 is 2405794020.

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.

148 x 742 x 460 x 762 = 38492704320

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.

148 : 1, 2, 4, 37, 74, 148

742 : 1, 2, 7, 14, 53, 106, 371, 742

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,742,460,762, is 2.

Now, the common factors can be found like this.

148:2x 2x 37

742:2x 7x 53

460:2x 2x 5x 23

762:2x 3x 127

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 38492704320/(2x8)

LCM = 38492704320/16

LCM = 2405794020

Thus, we can understand that the LCM of 148,742,460,762 is 2405794020.

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

• LCM of 198, 503, 522, 573
• LCM of 372, 806, 604, 749
• LCM of 941, 332, 225, 984
• LCM of 575, 360, 645, 781
• LCM of 187, 698, 962, 446

1. What is the LCM of 148, 742, 460, 762?

Answer: LCM of 148, 742, 460, 762 is 2405794020.

2. How to calculate the LCM of 148, 742, 460, 762?

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 148, 742, 460, 762.

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}.