Given numbers are 403,180,412,748

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

The LCM of 403,180,412,748 is 1397192940.

Find LCM of 403,180,412,748 with Prime Factorization

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

2 x 2 x 403 x 45 x 103 x 187 = 1397192940

Therefore, the lowest common multiple of 403,180,412,748 is 1397192940.

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.

403 x 180 x 412 x 748 = 22355087040

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.

403 : 1, 13, 31, 403

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,180,412,748, is 1.

Now, the common factors can be found like this.

403:13x 31

180:2x 2x 3x 3x 5

412:2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 22355087040/(1x16)

LCM = 22355087040/16

LCM = 1397192940

Thus, we can understand that the LCM of 403,180,412,748 is 1397192940.

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

• LCM of 619, 265, 391, 976
• LCM of 903, 109, 450, 568
• LCM of 562, 813, 120, 191
• LCM of 965, 303, 311, 672
• LCM of 527, 791, 572, 410

1. What is the LCM of 403, 180, 412, 748?

Answer: LCM of 403, 180, 412, 748 is 1397192940.

2. How to calculate the LCM of 403, 180, 412, 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 403, 180, 412, 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}.