Given numbers are 784,742,857,936

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

The LCM of 784,742,857,936 is 4166377488.

Find LCM of 784,742,857,936 with Prime Factorization

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

2 x 2 x 2 x 7 x 14 x 53 x 857 x 117 = 4166377488

Therefore, the lowest common multiple of 784,742,857,936 is 4166377488.

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.

784 x 742 x 857 x 936 = 466634278656

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.

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

857 : 1, 857

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,742,857,936, is 1.

Now, the common factors can be found like this.

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

742:2x 7x 53

857:857

936:2x 2x 2x 3x 3x 13

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 7 = 112

Therefore, the value for common factors is 112.

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 = 466634278656/(1x112)

LCM = 466634278656/112

LCM = 4166377488

Thus, we can understand that the LCM of 784,742,857,936 is 4166377488.

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

• LCM of 791, 608, 869, 610
• LCM of 121, 765, 871, 117
• LCM of 625, 812, 396, 408
• LCM of 538, 128, 495, 573
• LCM of 526, 505, 744, 655

1. What is the LCM of 784, 742, 857, 936?

Answer: LCM of 784, 742, 857, 936 is 4166377488.

2. How to calculate the LCM of 784, 742, 857, 936?

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 784, 742, 857, 936.

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}.