Given numbers are 821,596,677,769,745

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

The LCM of 821,596,677,769,745 is 1273721353540.

Find LCM of 821,596,677,769,745 with Prime Factorization

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

149 x 821 x 4 x 677 x 769 x 5 = 1273721353540

Therefore, the lowest common multiple of 821,596,677,769,745 is 1273721353540.

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.

821 x 596 x 677 x 769 x 745 = 189784481677460

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.

821 : 1, 821

596 : 1, 2, 4, 149, 298, 596

677 : 1, 677

769 : 1, 769

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,596,677,769,745, is 1.

Now, the common factors can be found like this.

821:821

596:2x 2x 149

677:677

769:769

745:5x 149

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

149 = 149

Therefore, the value for common factors is 149.

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 = 189784481677460/(1x149)

LCM = 189784481677460/149

LCM = 1273721353540

Thus, we can understand that the LCM of 821,596,677,769,745 is 1273721353540.

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

• LCM of 328, 471, 929, 620, 856
• LCM of 436, 885, 508, 881, 369
• LCM of 622, 924, 602, 342, 313
• LCM of 949, 187, 750, 791, 649
• LCM of 300, 311, 135, 861, 145

1. What is the LCM of 821, 596, 677, 769, 745?

Answer: LCM of 821, 596, 677, 769, 745 is 1273721353540.

2. How to calculate the LCM of 821, 596, 677, 769, 745?

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 821, 596, 677, 769, 745.

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}.