Given numbers are 868,422,488,690,920

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

The LCM of 868,422,488,690,920 is 7708699320.

Find LCM of 868,422,488,690,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 217 x 211 x 61 x 3 x 1 = 7708699320

Therefore, the lowest common multiple of 868,422,488,690,920 is 7708699320.

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.

868 x 422 x 488 x 690 x 920 = 113472053990400

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

422 : 1, 2, 211, 422

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,422,488,690,920, is 2.

Now, the common factors can be found like this.

868:2x 2x 7x 31

422:2x 211

488:2x 2x 2x 61

690:2x 3x 5x 23

920:2x 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 5x 23 = 7360

Therefore, the value for common factors is 7360.

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 = 113472053990400/(2x7360)

LCM = 113472053990400/14720

LCM = 7708699320

Thus, we can understand that the LCM of 868,422,488,690,920 is 7708699320.

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

• LCM of 962, 535, 843, 310, 103
• LCM of 912, 950, 975, 737, 673
• LCM of 551, 758, 834, 851, 206
• LCM of 995, 216, 427, 889, 718
• LCM of 978, 984, 896, 470, 603

1. What is the LCM of 868, 422, 488, 690, 920?

Answer: LCM of 868, 422, 488, 690, 920 is 7708699320.

2. How to calculate the LCM of 868, 422, 488, 690, 920?

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 868, 422, 488, 690, 920.

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}.