Given numbers are 748,403,964,696,628

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

The LCM of 748,403,964,696,628 is 1984598173272.

Find LCM of 748,403,964,696,628 with Prime Factorization

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

2 x 2 x 187 x 403 x 241 x 174 x 157 = 1984598173272

Therefore, the lowest common multiple of 748,403,964,696,628 is 1984598173272.

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 403 x 964 x 696 x 628 = 127014283089408

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

403 : 1, 13, 31, 403

964 : 1, 2, 4, 241, 482, 964

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

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,403,964,696,628, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

403:13x 31

964:2x 2x 241

696:2x 2x 2x 3x 29

628:2x 2x 157

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 2 = 64

Therefore, the value for common factors is 64.

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 = 127014283089408/(1x64)

LCM = 127014283089408/64

LCM = 1984598173272

Thus, we can understand that the LCM of 748,403,964,696,628 is 1984598173272.

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

• LCM of 435, 856, 959, 810, 281
• LCM of 563, 368, 287, 781, 211
• LCM of 743, 820, 665, 924, 647
• LCM of 697, 515, 578, 718, 500
• LCM of 952, 603, 861, 589, 715

1. What is the LCM of 748, 403, 964, 696, 628?

Answer: LCM of 748, 403, 964, 696, 628 is 1984598173272.

2. How to calculate the LCM of 748, 403, 964, 696, 628?

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, 403, 964, 696, 628.

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}.