Given numbers are 869,506,480

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

The LCM of 869,506,480 is 9593760.

Find LCM of 869,506,480 with Prime Factorization

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

2 x 11 x 79 x 23 x 240 = 9593760

Therefore, the lowest common multiple of 869,506,480 is 9593760.

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.

869 x 506 x 480 = 211062720

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.

869 : 1, 11, 79, 869

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,506,480, is 1.

Now, the common factors can be found like this.

869:11x 79

506:2x 11x 23

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

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 211062720/(1x22)

LCM = 211062720/22

LCM = 9593760

Thus, we can understand that the LCM of 869,506,480 is 9593760.

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

• LCM of 576, 683, 733
• LCM of 697, 510, 490
• LCM of 804, 383, 575
• LCM of 639, 970, 695
• LCM of 986, 519, 102

1. What is the LCM of 869, 506, 480?

Answer: LCM of 869, 506, 480 is 9593760.

2. How to calculate the LCM of 869, 506, 480?

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 869, 506, 480.

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}.