Given numbers are 914,714,450,764

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

The LCM of 914,714,450,764 is 9348437700.

Find LCM of 914,714,450,764 with Prime Factorization

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

2 x 3 x 457 x 119 x 75 x 382 = 9348437700

Therefore, the lowest common multiple of 914,714,450,764 is 9348437700.

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.

914 x 714 x 450 x 764 = 224362504800

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.

914 : 1, 2, 457, 914

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

764 : 1, 2, 4, 191, 382, 764

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,714,450,764, is 2.

Now, the common factors can be found like this.

914:2x 457

714:2x 3x 7x 17

450:2x 3x 3x 5x 5

764:2x 2x 191

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 3 = 12

Therefore, the value for common factors is 12.

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 = 224362504800/(2x12)

LCM = 224362504800/24

LCM = 9348437700

Thus, we can understand that the LCM of 914,714,450,764 is 9348437700.

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

• LCM of 574, 888, 555, 549
• LCM of 222, 466, 821, 314
• LCM of 243, 107, 613, 111
• LCM of 839, 567, 931, 792
• LCM of 638, 305, 179, 833

1. What is the LCM of 914, 714, 450, 764?

Answer: LCM of 914, 714, 450, 764 is 9348437700.

2. How to calculate the LCM of 914, 714, 450, 764?

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 914, 714, 450, 764.

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}.