Given numbers are 668,652,690,828,460

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

The LCM of 668,652,690,828,460 is 112694940.

Find LCM of 668,652,690,828,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 167 x 163 x 1 x 3 x 1 = 112694940

Therefore, the lowest common multiple of 668,652,690,828,460 is 112694940.

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.

668 x 652 x 690 x 828 x 460 = 114461996659200

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.

668 : 1, 2, 4, 167, 334, 668

652 : 1, 2, 4, 163, 326, 652

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,652,690,828,460, is 2.

Now, the common factors can be found like this.

668:2x 2x 167

652:2x 2x 163

690:2x 3x 5x 23

828:2x 2x 3x 3x 23

460:2x 2x 5x 23

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 3x 5x 23x 23 = 507840

Therefore, the value for common factors is 507840.

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 = 114461996659200/(2x507840)

LCM = 114461996659200/1015680

LCM = 112694940

Thus, we can understand that the LCM of 668,652,690,828,460 is 112694940.

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

• LCM of 570, 972, 864, 935, 997
• LCM of 360, 502, 206, 737, 603
• LCM of 314, 325, 904, 556, 792
• LCM of 859, 269, 536, 967, 657
• LCM of 297, 900, 378, 101, 786

1. What is the LCM of 668, 652, 690, 828, 460?

Answer: LCM of 668, 652, 690, 828, 460 is 112694940.

2. How to calculate the LCM of 668, 652, 690, 828, 460?

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 668, 652, 690, 828, 460.

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}.