Given numbers are 900,480,314,785

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

The LCM of 900,480,314,785 is 1130400.

Find LCM of 900,480,314,785 with Prime Factorization

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

2 x 2 x 3 x 5 x 157 x 15 x 8 x 1 x 1 = 1130400

Therefore, the lowest common multiple of 900,480,314,785 is 1130400.

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.

900 x 480 x 314 x 785 = 106483680000

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.

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

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

314 : 1, 2, 157, 314

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,480,314,785, is 1.

Now, the common factors can be found like this.

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

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

314:2x 157

785:5x 157

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 5x 5x 157 = 94200

Therefore, the value for common factors is 94200.

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 = 106483680000/(1x94200)

LCM = 106483680000/94200

LCM = 1130400

Thus, we can understand that the LCM of 900,480,314,785 is 1130400.

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

• LCM of 334, 942, 554, 742
• LCM of 852, 930, 500, 538
• LCM of 938, 535, 308, 501
• LCM of 987, 670, 437, 948
• LCM of 957, 154, 278, 255

1. What is the LCM of 900, 480, 314, 785?

Answer: LCM of 900, 480, 314, 785 is 1130400.

2. How to calculate the LCM of 900, 480, 314, 785?

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 900, 480, 314, 785.

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}.