Given numbers are 480,313,471,750,685

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

The LCM of 480,313,471,750,685 is 80787804000.

Find LCM of 480,313,471,750,685 with Prime Factorization

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

2 x 3 x 5 x 16 x 313 x 157 x 25 x 137 = 80787804000

Therefore, the lowest common multiple of 480,313,471,750,685 is 80787804000.

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 313 x 471 x 750 x 685 = 36354511800000

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

313 : 1, 313

471 : 1, 3, 157, 471

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,313,471,750,685, is 1.

Now, the common factors can be found like this.

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

313:313

471:3x 157

750:2x 3x 5x 5x 5

685:5x 137

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 36354511800000/(1x450)

LCM = 36354511800000/450

LCM = 80787804000

Thus, we can understand that the LCM of 480,313,471,750,685 is 80787804000.

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

• LCM of 438, 749, 644, 567, 367
• LCM of 108, 957, 599, 550, 985
• LCM of 777, 831, 966, 813, 684
• LCM of 573, 988, 943, 137, 862
• LCM of 247, 898, 294, 840, 684

1. What is the LCM of 480, 313, 471, 750, 685?

Answer: LCM of 480, 313, 471, 750, 685 is 80787804000.

2. How to calculate the LCM of 480, 313, 471, 750, 685?

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, 313, 471, 750, 685.

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}.