Given numbers are 749,689,914,457

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

The LCM of 749,689,914,457 is 471679754.

Find LCM of 749,689,914,457 with Prime Factorization

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

457 x 749 x 689 x 2 x 1 = 471679754

Therefore, the lowest common multiple of 749,689,914,457 is 471679754.

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.

749 x 689 x 914 x 457 = 215557647578

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.

749 : 1, 7, 107, 749

689 : 1, 13, 53, 689

914 : 1, 2, 457, 914

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,689,914,457, is 1.

Now, the common factors can be found like this.

749:7x 107

689:13x 53

914:2x 457

457:457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

457 = 457

Therefore, the value for common factors is 457.

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 = 215557647578/(1x457)

LCM = 215557647578/457

LCM = 471679754

Thus, we can understand that the LCM of 749,689,914,457 is 471679754.

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

• LCM of 655, 427, 906, 808
• LCM of 508, 346, 589, 672
• LCM of 402, 229, 802, 587
• LCM of 339, 693, 693, 380
• LCM of 378, 914, 796, 390

1. What is the LCM of 749, 689, 914, 457?

Answer: LCM of 749, 689, 914, 457 is 471679754.

2. How to calculate the LCM of 749, 689, 914, 457?

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 749, 689, 914, 457.

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}.