Given numbers are 460,368,620,992,974

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

The LCM of 460,368,620,992,974 is 55556960.

Find LCM of 460,368,620,992,974 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 23 x 31 x 1 x 1 x 1 x 2 x 487 = 55556960

Therefore, the lowest common multiple of 460,368,620,992,974 is 55556960.

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.

460 x 368 x 620 x 992 x 974 = 101407007948800

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.

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,368,620,992,974, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

368:2x 2x 2x 2x 23

620:2x 2x 5x 31

992:2x 2x 2x 2x 2x 31

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 2x 2x 2x 2x 2x 2x 2x 5x 23x 31 = 912640

Therefore, the value for common factors is 912640.

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 = 101407007948800/(2x912640)

LCM = 101407007948800/1825280

LCM = 55556960

Thus, we can understand that the LCM of 460,368,620,992,974 is 55556960.

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

• LCM of 856, 938, 124, 918, 375
• LCM of 653, 649, 810, 272, 102
• LCM of 931, 252, 341, 453, 690
• LCM of 887, 578, 158, 267, 700
• LCM of 804, 231, 652, 559, 455

1. What is the LCM of 460, 368, 620, 992, 974?

Answer: LCM of 460, 368, 620, 992, 974 is 55556960.

2. How to calculate the LCM of 460, 368, 620, 992, 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 460, 368, 620, 992, 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}.