Given numbers are 786,402,508,268

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

The LCM of 786,402,508,268 is 13376148.

Find LCM of 786,402,508,268 with Prime Factorization

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

2 x 2 x 3 x 67 x 131 x 1 x 127 x 1 = 13376148

Therefore, the lowest common multiple of 786,402,508,268 is 13376148.

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.

786 x 402 x 508 x 268 = 43017691968

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

402 : 1, 2, 3, 6, 67, 134, 201, 402

508 : 1, 2, 4, 127, 254, 508

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,402,508,268, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

402:2x 3x 67

508:2x 2x 127

268:2x 2x 67

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 3x 67 = 1608

Therefore, the value for common factors is 1608.

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 = 43017691968/(2x1608)

LCM = 43017691968/3216

LCM = 13376148

Thus, we can understand that the LCM of 786,402,508,268 is 13376148.

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

• LCM of 685, 953, 488, 114
• LCM of 323, 840, 142, 465
• LCM of 342, 474, 500, 520
• LCM of 472, 613, 228, 898
• LCM of 563, 680, 896, 255

1. What is the LCM of 786, 402, 508, 268?

Answer: LCM of 786, 402, 508, 268 is 13376148.

2. How to calculate the LCM of 786, 402, 508, 268?

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 786, 402, 508, 268.

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}.