Given numbers are 480,695,742,625,668

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

The LCM of 480,695,742,625,668 is 516721380000.

Find LCM of 480,695,742,625,668 with Prime Factorization

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

2 x 2 x 5 x 24 x 139 x 371 x 125 x 167 = 516721380000

Therefore, the lowest common multiple of 480,695,742,625,668 is 516721380000.

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.

480 x 695 x 742 x 625 x 668 = 103344276000000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

695 : 1, 5, 139, 695

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

625 : 1, 5, 25, 125, 625

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,695,742,625,668, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

695:5x 139

742:2x 7x 53

625:5x 5x 5x 5

668:2x 2x 167

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 103344276000000/(1x200)

LCM = 103344276000000/200

LCM = 516721380000

Thus, we can understand that the LCM of 480,695,742,625,668 is 516721380000.

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

• LCM of 599, 976, 837, 113, 667
• LCM of 220, 253, 780, 946, 733
• LCM of 224, 840, 351, 865, 483
• LCM of 482, 512, 672, 386, 589
• LCM of 446, 402, 165, 441, 499

1. What is the LCM of 480, 695, 742, 625, 668?

Answer: LCM of 480, 695, 742, 625, 668 is 516721380000.

2. How to calculate the LCM of 480, 695, 742, 625, 668?

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 480, 695, 742, 625, 668.

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}.