Given numbers are 473,460,742

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

The LCM of 473,460,742 is 80722180.

Find LCM of 473,460,742 with Prime Factorization

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

2 x 473 x 230 x 371 = 80722180

Therefore, the lowest common multiple of 473,460,742 is 80722180.

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.

473 x 460 x 742 = 161444360

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.

473 : 1, 11, 43, 473

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,460,742, is 1.

Now, the common factors can be found like this.

473:11x 43

460:2x 2x 5x 23

742:2x 7x 53

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 = 161444360/(1x2)

LCM = 161444360/2

LCM = 80722180

Thus, we can understand that the LCM of 473,460,742 is 80722180.

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

• LCM of 470, 986, 166
• LCM of 607, 772, 834
• LCM of 226, 892, 785
• LCM of 401, 277, 914
• LCM of 424, 810, 777

1. What is the LCM of 473, 460, 742?

Answer: LCM of 473, 460, 742 is 80722180.

2. How to calculate the LCM of 473, 460, 742?

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 473, 460, 742.

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}.