Given numbers are 648,420,633,758

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

The LCM of 648,420,633,758 is 1813696920.

Find LCM of 648,420,633,758 with Prime Factorization

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

2 x 2 x 3 x 54 x 35 x 211 x 379 = 1813696920

Therefore, the lowest common multiple of 648,420,633,758 is 1813696920.

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.

648 x 420 x 633 x 758 = 130586178240

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

633 : 1, 3, 211, 633

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,420,633,758, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

420:2x 2x 3x 5x 7

633:3x 211

758:2x 379

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 3 = 72

Therefore, the value for common factors is 72.

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 = 130586178240/(1x72)

LCM = 130586178240/72

LCM = 1813696920

Thus, we can understand that the LCM of 648,420,633,758 is 1813696920.

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

• LCM of 409, 136, 991, 297
• LCM of 800, 334, 590, 901
• LCM of 673, 399, 906, 688
• LCM of 253, 208, 539, 291
• LCM of 247, 997, 119, 966

1. What is the LCM of 648, 420, 633, 758?

Answer: LCM of 648, 420, 633, 758 is 1813696920.

2. How to calculate the LCM of 648, 420, 633, 758?

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 648, 420, 633, 758.

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}.