Given numbers are 868,756,736,460

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

The LCM of 868,756,736,460 is 21561120.

Find LCM of 868,756,736,460 with Prime Factorization

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

2 x 2 x 7 x 23 x 31 x 27 x 8 x 5 = 21561120

Therefore, the lowest common multiple of 868,756,736,460 is 21561120.

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 756 x 736 x 460 = 222165780480

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,756,736,460, is 4.

Now, the common factors can be found like this.

868:2x 2x 7x 31

756:2x 2x 3x 3x 3x 7

736:2x 2x 2x 2x 2x 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 7x 23 = 2576

Therefore, the value for common factors is 2576.

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 = 222165780480/(4x2576)

LCM = 222165780480/10304

LCM = 21561120

Thus, we can understand that the LCM of 868,756,736,460 is 21561120.

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

• LCM of 527, 663, 114, 978
• LCM of 900, 889, 254, 498
• LCM of 599, 595, 356, 447
• LCM of 602, 276, 675, 889
• LCM of 230, 454, 279, 947

1. What is the LCM of 868, 756, 736, 460?

Answer: LCM of 868, 756, 736, 460 is 21561120.

2. How to calculate the LCM of 868, 756, 736, 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 868, 756, 736, 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}.