Given numbers are 460,306,238,748

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

The LCM of 460,306,238,748 is 5419260.

Find LCM of 460,306,238,748 with Prime Factorization

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

2 x 2 x 17 x 115 x 9 x 7 x 11 = 5419260

Therefore, the lowest common multiple of 460,306,238,748 is 5419260.

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.

460 x 306 x 238 x 748 = 25058658240

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.

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

238 : 1, 2, 7, 14, 17, 34, 119, 238

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,306,238,748, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

306:2x 3x 3x 17

238:2x 7x 17

748:2x 2x 11x 17

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 2x 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 25058658240/(2x2312)

LCM = 25058658240/4624

LCM = 5419260

Thus, we can understand that the LCM of 460,306,238,748 is 5419260.

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

• LCM of 249, 444, 188, 848
• LCM of 627, 691, 775, 667
• LCM of 205, 773, 212, 527
• LCM of 270, 884, 434, 731
• LCM of 965, 446, 100, 138

1. What is the LCM of 460, 306, 238, 748?

Answer: LCM of 460, 306, 238, 748 is 5419260.

2. How to calculate the LCM of 460, 306, 238, 748?

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 460, 306, 238, 748.

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}.