Given numbers are 748,704,128,882

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

The LCM of 748,704,128,882 is 10555776.

Find LCM of 748,704,128,882 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 x 1 x 2 x 441 = 10555776

Therefore, the lowest common multiple of 748,704,128,882 is 10555776.

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.

748 x 704 x 128 x 882 = 59450130432

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

128 : 1, 2, 4, 8, 16, 32, 64, 128

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,704,128,882, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

704:2x 2x 2x 2x 2x 2x 11

128:2x 2x 2x 2x 2x 2x 2

882:2x 3x 3x 7x 7

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 2x 2x 2x 2x 2x 11 = 2816

Therefore, the value for common factors is 2816.

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 = 59450130432/(2x2816)

LCM = 59450130432/5632

LCM = 10555776

Thus, we can understand that the LCM of 748,704,128,882 is 10555776.

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

• LCM of 447, 273, 263, 564
• LCM of 604, 709, 386, 125
• LCM of 976, 111, 238, 612
• LCM of 822, 673, 775, 752
• LCM of 976, 951, 140, 475

1. What is the LCM of 748, 704, 128, 882?

Answer: LCM of 748, 704, 128, 882 is 10555776.

2. How to calculate the LCM of 748, 704, 128, 882?

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 748, 704, 128, 882.

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}.