Given numbers are 753,414,646,728

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

The LCM of 753,414,646,728 is 12217376808.

Find LCM of 753,414,646,728 with Prime Factorization

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

2 x 3 x 251 x 69 x 323 x 364 = 12217376808

Therefore, the lowest common multiple of 753,414,646,728 is 12217376808.

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.

753 x 414 x 646 x 728 = 146608521696

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.

753 : 1, 3, 251, 753

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,414,646,728, is 1.

Now, the common factors can be found like this.

753:3x 251

414:2x 3x 3x 23

646:2x 17x 19

728:2x 2x 2x 7x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 146608521696/(1x12)

LCM = 146608521696/12

LCM = 12217376808

Thus, we can understand that the LCM of 753,414,646,728 is 12217376808.

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

• LCM of 331, 348, 966, 870
• LCM of 533, 142, 490, 609
• LCM of 221, 329, 517, 117
• LCM of 618, 631, 505, 593
• LCM of 835, 254, 787, 546

1. What is the LCM of 753, 414, 646, 728?

Answer: LCM of 753, 414, 646, 728 is 12217376808.

2. How to calculate the LCM of 753, 414, 646, 728?

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 753, 414, 646, 728.

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}.