Given numbers are 892,536,356,920,754

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

The LCM of 892,536,356,920,754 is 461210143160.

Find LCM of 892,536,356,920,754 with Prime Factorization

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

2 x 2 x 2 x 223 x 67 x 89 x 115 x 377 = 461210143160

Therefore, the lowest common multiple of 892,536,356,920,754 is 461210143160.

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.

892 x 536 x 356 x 920 x 754 = 118069796648960

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.

892 : 1, 2, 4, 223, 446, 892

536 : 1, 2, 4, 8, 67, 134, 268, 536

356 : 1, 2, 4, 89, 178, 356

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,536,356,920,754, is 2.

Now, the common factors can be found like this.

892:2x 2x 223

536:2x 2x 2x 67

356:2x 2x 89

920:2x 2x 2x 5x 23

754:2x 13x 29

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 2 = 128

Therefore, the value for common factors is 128.

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 = 118069796648960/(2x128)

LCM = 118069796648960/256

LCM = 461210143160

Thus, we can understand that the LCM of 892,536,356,920,754 is 461210143160.

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

• LCM of 760, 557, 278, 155, 677
• LCM of 636, 475, 243, 800, 123
• LCM of 828, 211, 588, 172, 607
• LCM of 739, 101, 218, 812, 301
• LCM of 493, 681, 514, 537, 661

1. What is the LCM of 892, 536, 356, 920, 754?

Answer: LCM of 892, 536, 356, 920, 754 is 461210143160.

2. How to calculate the LCM of 892, 536, 356, 920, 754?

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 892, 536, 356, 920, 754.

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}.