Given numbers are 471,213,307,360

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

The LCM of 471,213,307,360 is 1231966440.

Find LCM of 471,213,307,360 with Prime Factorization

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

3 x 157 x 71 x 307 x 120 = 1231966440

Therefore, the lowest common multiple of 471,213,307,360 is 1231966440.

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.

471 x 213 x 307 x 360 = 11087697960

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.

471 : 1, 3, 157, 471

213 : 1, 3, 71, 213

307 : 1, 307

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,213,307,360, is 1.

Now, the common factors can be found like this.

471:3x 157

213:3x 71

307:307

360:2x 2x 2x 3x 3x 5

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 11087697960/(1x9)

LCM = 11087697960/9

LCM = 1231966440

Thus, we can understand that the LCM of 471,213,307,360 is 1231966440.

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

• LCM of 454, 285, 148, 309
• LCM of 684, 481, 404, 138
• LCM of 723, 768, 402, 808
• LCM of 712, 674, 174, 389
• LCM of 221, 422, 853, 340

1. What is the LCM of 471, 213, 307, 360?

Answer: LCM of 471, 213, 307, 360 is 1231966440.

2. How to calculate the LCM of 471, 213, 307, 360?

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 471, 213, 307, 360.

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}.