Given numbers are 972,460,884,157,382

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

The LCM of 972,460,884,157,382 is 740780256060.

Find LCM of 972,460,884,157,382 with Prime Factorization

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

2 x 2 x 243 x 115 x 221 x 157 x 191 = 740780256060

Therefore, the lowest common multiple of 972,460,884,157,382 is 740780256060.

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.

972 x 460 x 884 x 157 x 382 = 23704968193920

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.

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

157 : 1, 157

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,460,884,157,382, is 1.

Now, the common factors can be found like this.

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

460:2x 2x 5x 23

884:2x 2x 13x 17

157:157

382:2x 191

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 2 = 32

Therefore, the value for common factors is 32.

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 = 23704968193920/(1x32)

LCM = 23704968193920/32

LCM = 740780256060

Thus, we can understand that the LCM of 972,460,884,157,382 is 740780256060.

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

• LCM of 927, 402, 659, 775, 898
• LCM of 743, 713, 619, 760, 654
• LCM of 699, 793, 132, 703, 201
• LCM of 683, 969, 937, 467, 363
• LCM of 282, 288, 640, 220, 258

1. What is the LCM of 972, 460, 884, 157, 382?

Answer: LCM of 972, 460, 884, 157, 382 is 740780256060.

2. How to calculate the LCM of 972, 460, 884, 157, 382?

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 972, 460, 884, 157, 382.

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}.