Given numbers are 547,149,840,480

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

The LCM of 547,149,840,480 is 273850080.

Find LCM of 547,149,840,480 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 547 x 149 x 7 x 4 = 273850080

Therefore, the lowest common multiple of 547,149,840,480 is 273850080.

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.

547 x 149 x 840 x 480 = 32862009600

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.

547 : 1, 547

149 : 1, 149

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

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 547,149,840,480, is 1.

Now, the common factors can be found like this.

547:547

149:149

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

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 2x 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 32862009600/(1x120)

LCM = 32862009600/120

LCM = 273850080

Thus, we can understand that the LCM of 547,149,840,480 is 273850080.

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

• LCM of 844, 111, 680, 878
• LCM of 928, 290, 703, 347
• LCM of 354, 649, 142, 775
• LCM of 171, 728, 313, 487
• LCM of 309, 505, 333, 893

1. What is the LCM of 547, 149, 840, 480?

Answer: LCM of 547, 149, 840, 480 is 273850080.

2. How to calculate the LCM of 547, 149, 840, 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 547, 149, 840, 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}.