Given numbers are 867,273,627,966,974

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

The LCM of 867,273,627,966,974 is 369397174146.

Find LCM of 867,273,627,966,974 with Prime Factorization

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

2 x 3 x 7 x 289 x 13 x 209 x 23 x 487 = 369397174146

Therefore, the lowest common multiple of 867,273,627,966,974 is 369397174146.

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.

867 x 273 x 627 x 966 x 974 = 139632131827188

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.

867 : 1, 3, 17, 51, 289, 867

273 : 1, 3, 7, 13, 21, 39, 91, 273

627 : 1, 3, 11, 19, 33, 57, 209, 627

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,273,627,966,974, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

273:3x 7x 13

627:3x 11x 19

966:2x 3x 7x 23

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 139632131827188/(1x378)

LCM = 139632131827188/378

LCM = 369397174146

Thus, we can understand that the LCM of 867,273,627,966,974 is 369397174146.

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

• LCM of 115, 392, 100, 652, 906
• LCM of 744, 586, 818, 505, 859
• LCM of 195, 637, 172, 801, 216
• LCM of 637, 469, 333, 649, 718
• LCM of 233, 853, 185, 196, 688

1. What is the LCM of 867, 273, 627, 966, 974?

Answer: LCM of 867, 273, 627, 966, 974 is 369397174146.

2. How to calculate the LCM of 867, 273, 627, 966, 974?

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 867, 273, 627, 966, 974.

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}.