Given numbers are 960,972,267,646,723

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

The LCM of 960,972,267,646,723 is 538723379520.

Find LCM of 960,972,267,646,723 with Prime Factorization

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

2 x 2 x 3 x 80 x 81 x 89 x 323 x 241 = 538723379520

Therefore, the lowest common multiple of 960,972,267,646,723 is 538723379520.

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.

960 x 972 x 267 x 646 x 723 = 116364249976320

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

267 : 1, 3, 89, 267

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,972,267,646,723, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

972:2x 2x 3x 3x 3x 3x 3

267:3x 89

646:2x 17x 19

723:3x 241

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 3 = 216

Therefore, the value for common factors is 216.

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 = 116364249976320/(1x216)

LCM = 116364249976320/216

LCM = 538723379520

Thus, we can understand that the LCM of 960,972,267,646,723 is 538723379520.

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

• LCM of 181, 406, 792, 128, 974
• LCM of 719, 454, 462, 254, 238
• LCM of 864, 262, 188, 856, 114
• LCM of 792, 500, 261, 757, 893
• LCM of 786, 864, 946, 844, 444

1. What is the LCM of 960, 972, 267, 646, 723?

Answer: LCM of 960, 972, 267, 646, 723 is 538723379520.

2. How to calculate the LCM of 960, 972, 267, 646, 723?

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 960, 972, 267, 646, 723.

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}.