Given numbers are 480,235,840,690

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

The LCM of 480,235,840,690 is 3632160.

Find LCM of 480,235,840,690 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 4 x 47 x 7 x 23 = 3632160

Therefore, the lowest common multiple of 480,235,840,690 is 3632160.

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 235 x 840 x 690 = 65378880000

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

235 : 1, 5, 47, 235

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,235,840,690, is 5.

Now, the common factors can be found like this.

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

235:5x 47

840:2x 2x 2x 3x 5x 7

690:2x 3x 5x 23

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 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 65378880000/(5x3600)

LCM = 65378880000/18000

LCM = 3632160

Thus, we can understand that the LCM of 480,235,840,690 is 3632160.

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

• LCM of 788, 101, 511, 344
• LCM of 122, 503, 547, 624
• LCM of 581, 194, 650, 680
• LCM of 237, 424, 242, 707
• LCM of 809, 588, 195, 924

1. What is the LCM of 480, 235, 840, 690?

Answer: LCM of 480, 235, 840, 690 is 3632160.

2. How to calculate the LCM of 480, 235, 840, 690?

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, 235, 840, 690.

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}.