Given numbers are 690,429,693,462

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

The LCM of 690,429,693,462 is 2072070.

Find LCM of 690,429,693,462 with Prime Factorization

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

2 x 3 x 7 x 11 x 115 x 13 x 1 x 3 = 2072070

Therefore, the lowest common multiple of 690,429,693,462 is 2072070.

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.

690 x 429 x 693 x 462 = 94772337660

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

429 : 1, 3, 11, 13, 33, 39, 143, 429

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,429,693,462, is 3.

Now, the common factors can be found like this.

690:2x 3x 5x 23

429:3x 11x 13

693:3x 3x 7x 11

462:2x 3x 7x 11

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

2x 3x 3x 7x 11x 11 = 15246

Therefore, the value for common factors is 15246.

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 = 94772337660/(3x15246)

LCM = 94772337660/45738

LCM = 2072070

Thus, we can understand that the LCM of 690,429,693,462 is 2072070.

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

• LCM of 420, 556, 548, 727
• LCM of 758, 706, 896, 315
• LCM of 678, 561, 699, 449
• LCM of 937, 288, 970, 212
• LCM of 473, 929, 966, 123

1. What is the LCM of 690, 429, 693, 462?

Answer: LCM of 690, 429, 693, 462 is 2072070.

2. How to calculate the LCM of 690, 429, 693, 462?

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 690, 429, 693, 462.

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}.