Given numbers are 747,696,677,770,924

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

The LCM of 747,696,677,770,924 is 45170821080.

Find LCM of 747,696,677,770,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 249 x 58 x 677 x 5 x 1 = 45170821080

Therefore, the lowest common multiple of 747,696,677,770,924 is 45170821080.

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.

747 x 696 x 677 x 770 x 924 = 250427032067520

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.

747 : 1, 3, 9, 83, 249, 747

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

677 : 1, 677

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,696,677,770,924, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

696:2x 2x 2x 3x 29

677:677

770:2x 5x 7x 11

924:2x 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 2x 2x 3x 3x 7x 11 = 5544

Therefore, the value for common factors is 5544.

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 = 250427032067520/(1x5544)

LCM = 250427032067520/5544

LCM = 45170821080

Thus, we can understand that the LCM of 747,696,677,770,924 is 45170821080.

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

• LCM of 761, 939, 731, 802, 826
• LCM of 278, 640, 465, 444, 184
• LCM of 439, 945, 659, 165, 657
• LCM of 686, 912, 378, 513, 942
• LCM of 779, 468, 849, 867, 577

1. What is the LCM of 747, 696, 677, 770, 924?

Answer: LCM of 747, 696, 677, 770, 924 is 45170821080.

2. How to calculate the LCM of 747, 696, 677, 770, 924?

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 747, 696, 677, 770, 924.

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}.