Given numbers are 365,412,178,150,778

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

The LCM of 365,412,178,150,778 is 78094589700.

Find LCM of 365,412,178,150,778 with Prime Factorization

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

2 x 5 x 73 x 206 x 89 x 15 x 389 = 78094589700

Therefore, the lowest common multiple of 365,412,178,150,778 is 78094589700.

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.

365 x 412 x 178 x 150 x 778 = 3123783588000

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.

365 : 1, 5, 73, 365

412 : 1, 2, 4, 103, 206, 412

178 : 1, 2, 89, 178

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,412,178,150,778, is 1.

Now, the common factors can be found like this.

365:5x 73

412:2x 2x 103

178:2x 89

150:2x 3x 5x 5

778:2x 389

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 5 = 40

Therefore, the value for common factors is 40.

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 = 3123783588000/(1x40)

LCM = 3123783588000/40

LCM = 78094589700

Thus, we can understand that the LCM of 365,412,178,150,778 is 78094589700.

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

• LCM of 694, 997, 127, 683, 464
• LCM of 657, 670, 455, 340, 734
• LCM of 781, 722, 131, 516, 449
• LCM of 955, 333, 226, 285, 741
• LCM of 142, 256, 453, 401, 581

1. What is the LCM of 365, 412, 178, 150, 778?

Answer: LCM of 365, 412, 178, 150, 778 is 78094589700.

2. How to calculate the LCM of 365, 412, 178, 150, 778?

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 365, 412, 178, 150, 778.

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}.