Given numbers are 795,480,900,502

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

The LCM of 795,480,900,502 is 95781600.

Find LCM of 795,480,900,502 with Prime Factorization

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

2 x 2 x 3 x 5 x 53 x 8 x 15 x 251 = 95781600

Therefore, the lowest common multiple of 795,480,900,502 is 95781600.

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.

795 x 480 x 900 x 502 = 172406880000

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.

795 : 1, 3, 5, 15, 53, 159, 265, 795

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

502 : 1, 2, 251, 502

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,480,900,502, is 1.

Now, the common factors can be found like this.

795:3x 5x 53

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

900:2x 2x 3x 3x 5x 5

502:2x 251

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 172406880000/(1x1800)

LCM = 172406880000/1800

LCM = 95781600

Thus, we can understand that the LCM of 795,480,900,502 is 95781600.

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

• LCM of 909, 781, 449, 629
• LCM of 311, 175, 105, 402
• LCM of 158, 615, 726, 462
• LCM of 278, 495, 197, 762
• LCM of 914, 509, 200, 822

1. What is the LCM of 795, 480, 900, 502?

Answer: LCM of 795, 480, 900, 502 is 95781600.

2. How to calculate the LCM of 795, 480, 900, 502?

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 795, 480, 900, 502.

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}.