Given numbers are 920,584,684,268,784

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

The LCM of 920,584,684,268,784 is 75406307760.

Find LCM of 920,584,684,268,784 with Prime Factorization

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

2 x 2 x 2 x 115 x 73 x 171 x 67 x 98 = 75406307760

Therefore, the lowest common multiple of 920,584,684,268,784 is 75406307760.

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.

920 x 584 x 684 x 268 x 784 = 77216059146240

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.

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

268 : 1, 2, 4, 67, 134, 268

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,584,684,268,784, is 4.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

584:2x 2x 2x 73

684:2x 2x 3x 3x 19

268:2x 2x 67

784:2x 2x 2x 2x 7x 7

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 2 = 256

Therefore, the value for common factors is 256.

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 = 77216059146240/(4x256)

LCM = 77216059146240/1024

LCM = 75406307760

Thus, we can understand that the LCM of 920,584,684,268,784 is 75406307760.

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

• LCM of 760, 281, 647, 222, 460
• LCM of 542, 224, 322, 719, 959
• LCM of 758, 357, 507, 659, 862
• LCM of 426, 105, 710, 235, 746
• LCM of 692, 639, 346, 505, 594

1. What is the LCM of 920, 584, 684, 268, 784?

Answer: LCM of 920, 584, 684, 268, 784 is 75406307760.

2. How to calculate the LCM of 920, 584, 684, 268, 784?

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 920, 584, 684, 268, 784.

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}.