Given numbers are 312,682,695,438,546

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

The LCM of 312,682,695,438,546 is 37784586840.

Find LCM of 312,682,695,438,546 with Prime Factorization

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

2 x 3 x 13 x 4 x 341 x 695 x 73 x 7 = 37784586840

Therefore, the lowest common multiple of 312,682,695,438,546 is 37784586840.

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.

312 x 682 x 695 x 438 x 546 = 35366373282240

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

682 : 1, 2, 11, 22, 31, 62, 341, 682

695 : 1, 5, 139, 695

438 : 1, 2, 3, 6, 73, 146, 219, 438

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,682,695,438,546, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

682:2x 11x 31

695:5x 139

438:2x 3x 73

546:2x 3x 7x 13

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 35366373282240/(1x936)

LCM = 35366373282240/936

LCM = 37784586840

Thus, we can understand that the LCM of 312,682,695,438,546 is 37784586840.

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

• LCM of 205, 493, 838, 993, 826
• LCM of 227, 260, 773, 507, 642
• LCM of 333, 155, 298, 993, 444
• LCM of 647, 911, 426, 111, 409
• LCM of 544, 671, 151, 452, 653

1. What is the LCM of 312, 682, 695, 438, 546?

Answer: LCM of 312, 682, 695, 438, 546 is 37784586840.

2. How to calculate the LCM of 312, 682, 695, 438, 546?

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 312, 682, 695, 438, 546.

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}.