Given numbers are 456,750,790,149,825

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

The LCM of 456,750,790,149,825 is 7380417000.

Find LCM of 456,750,790,149,825 with Prime Factorization

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

2 x 3 x 5 x 5 x 76 x 5 x 79 x 149 x 11 = 7380417000

Therefore, the lowest common multiple of 456,750,790,149,825 is 7380417000.

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.

456 x 750 x 790 x 149 x 825 = 33211876500000

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

790 : 1, 2, 5, 10, 79, 158, 395, 790

149 : 1, 149

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,750,790,149,825, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

750:2x 3x 5x 5x 5

790:2x 5x 79

149:149

825:3x 5x 5x 11

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 3x 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 33211876500000/(1x4500)

LCM = 33211876500000/4500

LCM = 7380417000

Thus, we can understand that the LCM of 456,750,790,149,825 is 7380417000.

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

• LCM of 272, 912, 366, 320, 509
• LCM of 107, 751, 328, 881, 856
• LCM of 501, 672, 220, 512, 801
• LCM of 888, 620, 457, 753, 958
• LCM of 927, 492, 746, 893, 480

1. What is the LCM of 456, 750, 790, 149, 825?

Answer: LCM of 456, 750, 790, 149, 825 is 7380417000.

2. How to calculate the LCM of 456, 750, 790, 149, 825?

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 456, 750, 790, 149, 825.

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}.