Given numbers are 748,646,471,728,697

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

The LCM of 748,646,471,728,697 is 49949523624.

Find LCM of 748,646,471,728,697 with Prime Factorization

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

2 x 2 x 17 x 11 x 19 x 471 x 182 x 41 = 49949523624

Therefore, the lowest common multiple of 748,646,471,728,697 is 49949523624.

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 646 x 471 x 728 x 697 = 115483298618688

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

471 : 1, 3, 157, 471

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,646,471,728,697, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

646:2x 17x 19

471:3x 157

728:2x 2x 2x 7x 13

697:17x 41

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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 115483298618688/(1x2312)

LCM = 115483298618688/2312

LCM = 49949523624

Thus, we can understand that the LCM of 748,646,471,728,697 is 49949523624.

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

• LCM of 646, 523, 454, 385, 941
• LCM of 376, 506, 959, 228, 916
• LCM of 894, 326, 180, 922, 259
• LCM of 470, 882, 162, 931, 710
• LCM of 773, 469, 673, 137, 793

1. What is the LCM of 748, 646, 471, 728, 697?

Answer: LCM of 748, 646, 471, 728, 697 is 49949523624.

2. How to calculate the LCM of 748, 646, 471, 728, 697?

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, 646, 471, 728, 697.

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}.